Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
422 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 11. #17988992 | C4 | semidirect |
| 12. #17988985 | C4 | semidirect |
| 150. C73 | #9427 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22620477 | 2 |
| #22613111 | 2 |
| #22608647 | 2 |
| #22608483 | 2 |
| #22608481 | 2 |
| #22607796 | 2 |
| C73×#1288 | 2 |
| #9427 | 73 |