Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
442 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 10. #17988992 | C4 | semidirect |
| 11. #17988938 | C4 | semidirect |
| 172. C73 | #9298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22621084 | 2 |
| #22612679 | 2 |
| #22610912 | 2 |
| #22608615 | 2 |
| #22608496 | 2 |
| #22607790 | 2 |
| C73×#1274 | 2 |
| #9298 | 73 |