Semilattices
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Is subdirectly irreducible yes
no
Is simple yes
no
Find algebras of size
to
Counts:
1, 1, 2, 5, 15, 53 Show Con( ) yes
no
Show Sub( ) yes
no
Show Aut( ) yes
no
5 S 4,1 · 0 1 2 3 0 0 0 0 0 1 0 1 0 0 2 0 0 2 0 3 0 0 0 3
6 S 4,2 · 0 1 2 3 0 0 0 0 0 1 0 1 0 0 2 0 0 2 2 3 0 0 2 3
7 S 4,3 · 0 1 2 3 0 0 0 0 0 1 0 1 0 1 2 0 0 2 2 3 0 1 2 3
8 S 4,4 · 0 1 2 3 0 0 0 0 0 1 0 1 1 1 2 0 1 2 1 3 0 1 1 3
9 S 4,5 · 0 1 2 3 0 0 0 0 0 1 0 1 1 1 2 0 1 2 2 3 0 1 2 3
10 S 5,1 · 0 1 2 3 4 0 0 0 0 0 0 1 0 1 0 0 0 2 0 0 2 0 0 3 0 0 0 3 0 4 0 0 0 0 4
11 S 5,2 · 0 1 2 3 4 0 0 0 0 0 0 1 0 1 0 0 0 2 0 0 2 0 0 3 0 0 0 3 3 4 0 0 0 3 4
12 S 5,3 · 0 1 2 3 4 0 0 0 0 0 0 1 0 1 0 0 0 2 0 0 2 0 2 3 0 0 0 3 3 4 0 0 2 3 4
13 S 5,4 · 0 1 2 3 4 0 0 0 0 0 0 1 0 1 0 0 0 2 0 0 2 2 2 3 0 0 2 3 2 4 0 0 2 2 4
14 S 5,5 · 0 1 2 3 4 0 0 0 0 0 0 1 0 1 0 0 0 2 0 0 2 2 2 3 0 0 2 3 3 4 0 0 2 3 4
15 S 5,6 · 0 1 2 3 4 0 0 0 0 0 0 1 0 1 0 0 1 2 0 0 2 0 2 3 0 0 0 3 3 4 0 1 2 3 4
16 S 5,7 · 0 1 2 3 4 0 0 0 0 0 0 1 0 1 0 0 1 2 0 0 2 2 0 3 0 0 2 3 0 4 0 1 0 0 4
17 S 5,8 · 0 1 2 3 4 0 0 0 0 0 0 1 0 1 0 0 1 2 0 0 2 2 2 3 0 0 2 3 2 4 0 1 2 2 4
18 S 5,9 · 0 1 2 3 4 0 0 0 0 0 0 1 0 1 0 0 1 2 0 0 2 2 2 3 0 0 2 3 3 4 0 1 2 3 4
19 S 5,10 · 0 1 2 3 4 0 0 0 0 0 0 1 0 1 0 1 1 2 0 0 2 2 2 3 0 1 2 3 3 4 0 1 2 3 4
20 S 5,11 · 0 1 2 3 4 0 0 0 0 0 0 1 0 1 1 1 1 2 0 1 2 1 1 3 0 1 1 3 1 4 0 1 1 1 4
21 S 5,12 · 0 1 2 3 4 0 0 0 0 0 0 1 0 1 1 1 1 2 0 1 2 1 1 3 0 1 1 3 3 4 0 1 1 3 4
22 S 5,13 · 0 1 2 3 4 0 0 0 0 0 0 1 0 1 1 1 1 2 0 1 2 1 2 3 0 1 1 3 3 4 0 1 2 3 4
23 S 5,14 · 0 1 2 3 4 0 0 0 0 0 0 1 0 1 1 1 1 2 0 1 2 2 2 3 0 1 2 3 2 4 0 1 2 2 4
24 S 5,15 · 0 1 2 3 4 0 0 0 0 0 0 1 0 1 1 1 1 2 0 1 2 2 2 3 0 1 2 3 3 4 0 1 2 3 4
25 S 6,1 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 2 0 0 0 3 0 0 0 3 0 0 4 0 0 0 0 4 0 5 0 0 0 0 0 5
26 S 6,2 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 2 0 0 0 3 0 0 0 3 0 0 4 0 0 0 0 4 4 5 0 0 0 0 4 5
27 S 6,3 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 2 0 0 0 3 0 0 0 3 0 3 4 0 0 0 0 4 4 5 0 0 0 3 4 5
28 S 6,4 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 2 0 0 0 3 0 0 0 3 3 3 4 0 0 0 3 4 3 5 0 0 0 3 3 5
29 S 6,5 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 2 0 0 0 3 0 0 0 3 3 3 4 0 0 0 3 4 4 5 0 0 0 3 4 5
30 S 6,6 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 2 0 0 2 3 0 0 0 3 0 3 4 0 0 0 0 4 4 5 0 0 2 3 4 5
31 S 6,7 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 2 0 0 2 3 0 0 0 3 3 0 4 0 0 0 3 4 0 5 0 0 2 0 0 5
32 S 6,8 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 2 0 0 2 3 0 0 0 3 3 3 4 0 0 0 3 4 3 5 0 0 2 3 3 5
33 S 6,9 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 2 0 0 2 3 0 0 0 3 3 3 4 0 0 0 3 4 4 5 0 0 2 3 4 5
34 S 6,10 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 2 0 2 2 3 0 0 0 3 3 3 4 0 0 2 3 4 4 5 0 0 2 3 4 5
35 S 6,11 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 2 2 2 2 3 0 0 2 3 2 2 4 0 0 2 2 4 2 5 0 0 2 2 2 5
36 S 6,12 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 2 2 2 2 3 0 0 2 3 2 2 4 0 0 2 2 4 4 5 0 0 2 2 4 5
37 S 6,13 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 2 2 2 2 3 0 0 2 3 2 3 4 0 0 2 2 4 4 5 0 0 2 3 4 5
38 S 6,14 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 2 2 2 2 3 0 0 2 3 3 3 4 0 0 2 3 4 3 5 0 0 2 3 3 5
39 S 6,15 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 2 2 2 2 3 0 0 2 3 3 3 4 0 0 2 3 4 4 5 0 0 2 3 4 5
40 S 6,16 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 1 2 0 0 2 0 0 2 3 0 0 0 3 0 3 4 0 0 0 0 4 4 5 0 1 2 3 4 5
41 S 6,17 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 1 2 0 0 2 0 0 2 3 0 0 0 3 3 0 4 0 0 0 3 4 0 5 0 1 2 0 0 5
42 S 6,18 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 1 2 0 0 2 0 0 2 3 0 0 0 3 3 3 4 0 0 0 3 4 3 5 0 1 2 3 3 5
43 S 6,19 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 1 2 0 0 2 0 0 2 3 0 0 0 3 3 3 4 0 0 0 3 4 4 5 0 1 2 3 4 5
44 S 6,20 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 1 2 0 0 2 0 2 0 3 0 0 0 3 3 3 4 0 0 2 3 4 3 5 0 1 0 3 3 5
45 S 6,21 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 1 2 0 0 2 0 2 2 3 0 0 0 3 3 3 4 0 0 2 3 4 4 5 0 1 2 3 4 5
46 S 6,22 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 1 2 0 0 2 2 2 0 3 0 0 2 3 2 0 4 0 0 2 2 4 0 5 0 1 0 0 0 5
47 S 6,23 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 1 2 0 0 2 2 2 0 3 0 0 2 3 3 0 4 0 0 2 3 4 0 5 0 1 0 0 0 5
48 S 6,24 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 1 2 0 0 2 2 2 2 3 0 0 2 3 2 2 4 0 0 2 2 4 2 5 0 1 2 2 2 5
49 S 6,25 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 1 2 0 0 2 2 2 2 3 0 0 2 3 2 2 4 0 0 2 2 4 4 5 0 1 2 2 4 5
50 S 6,26 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 1 2 0 0 2 2 2 2 3 0 0 2 3 2 3 4 0 0 2 2 4 4 5 0 1 2 3 4 5
51 S 6,27 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 1 2 0 0 2 2 2 2 3 0 0 2 3 3 2 4 0 0 2 3 4 2 5 0 1 2 2 2 5
52 S 6,28 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 1 2 0 0 2 2 2 2 3 0 0 2 3 3 3 4 0 0 2 3 4 3 5 0 1 2 3 3 5
53 S 6,29 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 0 1 2 0 0 2 2 2 2 3 0 0 2 3 3 3 4 0 0 2 3 4 4 5 0 1 2 3 4 5
54 S 6,30 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 1 1 2 0 0 2 0 2 2 3 0 0 0 3 3 3 4 0 1 2 3 4 4 5 0 1 2 3 4 5
55 S 6,31 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 1 1 2 0 0 2 2 0 2 3 0 0 2 3 0 2 4 0 1 0 0 4 1 5 0 1 2 2 1 5
56 S 6,32 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 1 1 2 0 0 2 2 0 2 3 0 0 2 3 0 2 4 0 1 0 0 4 4 5 0 1 2 2 4 5
57 S 6,33 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 1 1 2 0 0 2 2 0 2 3 0 0 2 3 0 3 4 0 1 0 0 4 4 5 0 1 2 3 4 5
58 S 6,34 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 1 1 2 0 0 2 2 2 2 3 0 0 2 3 2 2 4 0 1 2 2 4 4 5 0 1 2 2 4 5
59 S 6,35 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 1 1 2 0 0 2 2 2 2 3 0 0 2 3 2 3 4 0 1 2 2 4 4 5 0 1 2 3 4 5
60 S 6,36 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 0 1 1 2 0 0 2 2 2 2 3 0 0 2 3 3 3 4 0 1 2 3 4 4 5 0 1 2 3 4 5
61 S 6,37 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 1 1 1 2 0 0 2 2 2 2 3 0 1 2 3 3 3 4 0 1 2 3 4 3 5 0 1 2 3 3 5
62 S 6,38 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 0 1 1 1 2 0 0 2 2 2 2 3 0 1 2 3 3 3 4 0 1 2 3 4 4 5 0 1 2 3 4 5
63 S 6,39 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 0 1 2 1 1 1 3 0 1 1 3 1 1 4 0 1 1 1 4 1 5 0 1 1 1 1 5
64 S 6,40 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 0 1 2 1 1 1 3 0 1 1 3 1 1 4 0 1 1 1 4 4 5 0 1 1 1 4 5
65 S 6,41 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 0 1 2 1 1 1 3 0 1 1 3 1 3 4 0 1 1 1 4 4 5 0 1 1 3 4 5
66 S 6,42 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 0 1 2 1 1 1 3 0 1 1 3 3 3 4 0 1 1 3 4 3 5 0 1 1 3 3 5
67 S 6,43 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 0 1 2 1 1 1 3 0 1 1 3 3 3 4 0 1 1 3 4 4 5 0 1 1 3 4 5
68 S 6,44 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 0 1 2 1 1 2 3 0 1 1 3 1 3 4 0 1 1 1 4 4 5 0 1 2 3 4 5
69 S 6,45 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 0 1 2 1 1 2 3 0 1 1 3 3 1 4 0 1 1 3 4 1 5 0 1 2 1 1 5
70 S 6,46 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 0 1 2 1 1 2 3 0 1 1 3 3 3 4 0 1 1 3 4 3 5 0 1 2 3 3 5
71 S 6,47 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 0 1 2 1 1 2 3 0 1 1 3 3 3 4 0 1 1 3 4 4 5 0 1 2 3 4 5
72 S 6,48 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 0 1 2 1 2 2 3 0 1 1 3 3 3 4 0 1 2 3 4 4 5 0 1 2 3 4 5
73 S 6,49 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 0 1 2 2 2 2 3 0 1 2 3 2 2 4 0 1 2 2 4 2 5 0 1 2 2 2 5
74 S 6,50 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 0 1 2 2 2 2 3 0 1 2 3 2 2 4 0 1 2 2 4 4 5 0 1 2 2 4 5
75 S 6,51 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 0 1 2 2 2 2 3 0 1 2 3 2 3 4 0 1 2 2 4 4 5 0 1 2 3 4 5
76 S 6,52 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 0 1 2 2 2 2 3 0 1 2 3 3 3 4 0 1 2 3 4 3 5 0 1 2 3 3 5
77 S 6,53 · 0 1 2 3 4 5 0 0 0 0 0 0 0 1 0 1 1 1 1 1 2 0 1 2 2 2 2 3 0 1 2 3 3 3 4 0 1 2 3 4 4 5 0 1 2 3 4 5