Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
574 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 94 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. #11762547 | C4 | semidirect |
| 28. #11762546 | C4 | semidirect |
| 29. #11762545 | C4 | semidirect |
| 30. C17×#328 | C4 | semidirect |
| 288. #328 | #595 | semidirect |
| 346. C17 | #8867 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545277 | 2 |
| #14544769 | 2 |
| #14544733 | 2 |
| #14543970 | 2 |
| #14543658 | 2 |
| #14543621 | 2 |
| D17×#328 | 2 |
| #8867 | 17 |