Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
354 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 354 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 |
|---|---|---|
| 1. D17⋊#365 | C2 | semidirect |
| 4. #14544605 | C2 | semidirect |
| 5. #14543850 | C2 | semidirect |
| 6. #14543830 | C2 | semidirect |
| 23. #11762623 | C4 | semidirect |
| 24. #11762622 | C4 | semidirect |
| 25. #11762621 | C4 | semidirect |
| 26. C17×#361 | C4 | semidirect |
| 178. #361 | #595 | semidirect |
| 221. C17 | #13138 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#365 | 2 |
| D17⋊#361 | 2 |
| #14544933 | 2 |
| #14544605 | 2 |
| #14543850 | 2 |
| #14543830 | 2 |
| D17×#361 | 2 |
| #13138 | 17 |