Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
336 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 27. #11762551 | C4 | semidirect |
| 28. #11762550 | C4 | semidirect |
| 29. #11762550 | C4 | semidirect |
| 30. C17×#330 | C4 | semidirect |
| 185. #330 | #595 | semidirect |
| 231. C17 | #8919 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545697 | 2 |
| #14544971 | 2 |
| #14544350 | 2 |
| #14544349 | 2 |
| #14543673 | 2 |
| #14527377 | 2 |
| #8919 | 17 |