Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
510 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 96 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. C2×#11763865 | C2 | semidirect |
| 2. C2×#11763725 | C2 | semidirect |
| 3. #14544660 | C2 | semidirect |
| 4. #14543855 | C2 | semidirect |
| 17. #11763051 | C4 | semidirect |
| 18. #11763050 | C4 | semidirect |
| 19. #11763042 | C4 | semidirect |
| 24. C17×#466 | C4 | semidirect |
| 57. #10587530 | D4 | semidirect |
| 172. C2×D17 | #360 | semidirect |
| 193. #466 | #595 | semidirect |
| 250. C17 | #13065 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763865 | 2 |
| C2×#11763725 | 2 |
| #14544660 | 2 |
| #14543855 | 2 |
| #14538363 | 2 |
| #13065 | 17 |