Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
258 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 100 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 12. #17989479 | C4 | semidirect |
| 13. #17989475 | C4 | semidirect |
| 14. C4×#11924031 | C4 | semidirect |
| 118. C73 | #12597 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626152 | 2 |
| #22626140 | 2 |
| #22624986 | 2 |
| #22624985 | 2 |
| #22624982 | 2 |
| #22624981 | 2 |
| #22609685 | 2 |
| #12597 | 73 |