[Home]Commutative semigroups of size 5

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<structure name="CSgrp_5_1" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  0  0  </row>
    <row id="4">  0  0  0  0  0  </row>
  </operation>
</structure>

<structure name="CSgrp_5_2" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  0  0  </row>
    <row id="4">  0  0  0  0  1  </row>
  </operation>
</structure>

<structure name="CSgrp_5_3" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  0  0  </row>
    <row id="4">  0  0  0  0  4  </row>
  </operation>
</structure>

<structure name="CSgrp_5_4" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  0  1  </row>
    <row id="4">  0  0  0  1  0  </row>
  </operation>
</structure>

<structure name="CSgrp_5_5" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  0  1  </row>
    <row id="4">  0  0  0  1  1  </row>
  </operation>
</structure>

<structure name="CSgrp_5_6" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  0  1  </row>
    <row id="4">  0  0  0  1  2  </row>
  </operation>
</structure>

<structure name="CSgrp_5_7" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  0  1  </row>
    <row id="4">  0  0  0  1  3  </row>
  </operation>
</structure>

<structure name="CSgrp_5_8" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  0  3  </row>
    <row id="4">  0  0  0  3  4  </row>
  </operation>
</structure>

<structure name="CSgrp_5_9" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  1  0  </row>
    <row id="4">  0  0  0  0  1  </row>
  </operation>
</structure>

<structure name="CSgrp_5_10" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  1  0  </row>
    <row id="4">  0  0  0  0  2  </row>
  </operation>
</structure>

<structure name="CSgrp_5_11" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  1  0  </row>
    <row id="4">  0  0  0  0  4  </row>
  </operation>
</structure>

<structure name="CSgrp_5_12" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  1  1  </row>
    <row id="4">  0  0  0  1  1  </row>
  </operation>
</structure>

<structure name="CSgrp_5_13" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  1  1  </row>
    <row id="4">  0  0  0  1  2  </row>
  </operation>
</structure>

<structure name="CSgrp_5_14" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  1  2  </row>
    <row id="4">  0  0  0  2  1  </row>
  </operation>
</structure>

<structure name="CSgrp_5_15" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  3  0  </row>
    <row id="4">  0  0  0  0  4  </row>
  </operation>
</structure>

<structure name="CSgrp_5_16" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  3  3  </row>
    <row id="4">  0  0  0  3  3  </row>
  </operation>
</structure>

<structure name="CSgrp_5_17" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  3  3  </row>
    <row id="4">  0  0  0  3  4  </row>
  </operation>
</structure>

<structure name="CSgrp_5_18" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  0  </row>
    <row id="3">  0  0  0  3  4  </row>
    <row id="4">  0  0  0  4  3  </row>
  </operation>
</structure>

<structure name="CSgrp_5_19" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  1  </row>
    <row id="3">  0  0  0  0  1  </row>
    <row id="4">  0  0  1  1  0  </row>
  </operation>
</structure>

<structure name="CSgrp_5_20" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  1  </row>
    <row id="3">  0  0  0  0  1  </row>
    <row id="4">  0  0  1  1  1  </row>
  </operation>
</structure>

<structure name="CSgrp_5_21" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  1  </row>
    <row id="3">  0  0  0  0  1  </row>
    <row id="4">  0  0  1  1  2  </row>
  </operation>
</structure>

<structure name="CSgrp_5_22" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  1  </row>
    <row id="3">  0  0  0  1  0  </row>
    <row id="4">  0  0  1  0  0  </row>
  </operation>
</structure>

<structure name="CSgrp_5_23" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  1  </row>
    <row id="3">  0  0  0  1  0  </row>
    <row id="4">  0  0  1  0  1  </row>
  </operation>
</structure>

<structure name="CSgrp_5_24" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  1  </row>
    <row id="3">  0  0  0  1  0  </row>
    <row id="4">  0  0  1  0  2  </row>
  </operation>
</structure>

<structure name="CSgrp_5_25" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  1  </row>
    <row id="3">  0  0  0  1  1  </row>
    <row id="4">  0  0  1  1  0  </row>
  </operation>
</structure>

<structure name="CSgrp_5_26" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  1  </row>
    <row id="3">  0  0  0  1  1  </row>
    <row id="4">  0  0  1  1  1  </row>
  </operation>
</structure>

<structure name="CSgrp_5_27" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  1  </row>
    <row id="3">  0  0  0  1  1  </row>
    <row id="4">  0  0  1  1  2  </row>
  </operation>
</structure>

<structure name="CSgrp_5_28" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  1  </row>
    <row id="3">  0  0  0  1  2  </row>
    <row id="4">  0  0  1  2  3  </row>
  </operation>
</structure>

<structure name="CSgrp_5_29" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  1  </row>
    <row id="3">  0  0  0  3  0  </row>
    <row id="4">  0  0  1  0  0  </row>
  </operation>
</structure>

<structure name="CSgrp_5_30" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  1  </row>
    <row id="3">  0  0  0  3  0  </row>
    <row id="4">  0  0  1  0  1  </row>
  </operation>
</structure>

<structure name="CSgrp_5_31" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  1  </row>
    <row id="3">  0  0  0  3  0  </row>
    <row id="4">  0  0  1  0  2  </row>
  </operation>
</structure>

<structure name="CSgrp_5_32" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  1  </row>
    <row id="3">  0  0  0  3  3  </row>
    <row id="4">  0  0  1  3  3  </row>
  </operation>
</structure>

<structure name="CSgrp_5_33" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  2  </row>
    <row id="3">  0  0  0  0  2  </row>
    <row id="4">  0  0  2  2  4  </row>
  </operation>
</structure>

<structure name="CSgrp_5_34" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  2  </row>
    <row id="3">  0  0  0  0  3  </row>
    <row id="4">  0  0  2  3  4  </row>
  </operation>
</structure>

<structure name="CSgrp_5_35" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  2  </row>
    <row id="3">  0  0  0  1  0  </row>
    <row id="4">  0  0  2  0  4  </row>
  </operation>
</structure>

<structure name="CSgrp_5_36" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  2  </row>
    <row id="3">  0  0  0  1  2  </row>
    <row id="4">  0  0  2  2  4  </row>
  </operation>
</structure>

<structure name="CSgrp_5_37" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  2  </row>
    <row id="3">  0  0  0  2  3  </row>
    <row id="4">  0  0  2  3  4  </row>
  </operation>
</structure>

<structure name="CSgrp_5_38" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  2  </row>
    <row id="3">  0  0  0  3  0  </row>
    <row id="4">  0  0  2  0  4  </row>
  </operation>
</structure>

<structure name="CSgrp_5_39" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  0  2  </row>
    <row id="3">  0  0  0  3  3  </row>
    <row id="4">  0  0  2  3  4  </row>
  </operation>
</structure>

<structure name="CSgrp_5_40" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  1  1  </row>
    <row id="3">  0  0  1  0  1  </row>
    <row id="4">  0  0  1  1  0  </row>
  </operation>
</structure>

<structure name="CSgrp_5_41" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  1  1  </row>
    <row id="3">  0  0  1  0  1  </row>
    <row id="4">  0  0  1  1  1  </row>
  </operation>
</structure>

<structure name="CSgrp_5_42" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  1  1  </row>
    <row id="3">  0  0  1  1  0  </row>
    <row id="4">  0  0  1  0  1  </row>
  </operation>
</structure>

<structure name="CSgrp_5_43" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  1  1  </row>
    <row id="3">  0  0  1  1  1  </row>
    <row id="4">  0  0  1  1  1  </row>
  </operation>
</structure>

<structure name="CSgrp_5_44" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
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    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  1  1  </row>
    <row id="3">  0  0  1  2  2  </row>
    <row id="4">  0  0  1  2  2  </row>
  </operation>
</structure>

<structure name="CSgrp_5_45" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  2  2  </row>
    <row id="3">  0  0  2  3  3  </row>
    <row id="4">  0  0  2  3  3  </row>
  </operation>
</structure>

<structure name="CSgrp_5_46" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  2  2  </row>
    <row id="3">  0  0  2  3  3  </row>
    <row id="4">  0  0  2  3  4  </row>
  </operation>
</structure>

<structure name="CSgrp_5_47" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  0  2  2  </row>
    <row id="3">  0  0  2  3  4  </row>
    <row id="4">  0  0  2  4  3  </row>
  </operation>
</structure>

<structure name="CSgrp_5_48" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  1  0  0  </row>
    <row id="3">  0  0  0  1  0  </row>
    <row id="4">  0  0  0  0  1  </row>
  </operation>
</structure>

<structure name="CSgrp_5_49" size="5">
  <operation name="product" symbol="\cdot" arity="2" type="table">
    <row id="0">  0  0  0  0  0  </row>
    <row id="1">  0  0  0  0  0  </row>
    <row id="2">  0  0  1  0  0  </row>
    <row id="3">  0  0  0  1  0  </row>
    <row id="4">  0  0  0  0  4  </row>
  </operation>
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