Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
476 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. #14529761 | C2 | semidirect |
| 5. #14527204 | C2 | semidirect |
| 6. #14526675 | C2 | semidirect |
| 7. C17×#1276 | C2 | semidirect |
| 11. #11763095 | C4 | semidirect |
| 12. #11763090 | C4 | semidirect |
| 13. #11763020 | C4 | semidirect |
| 14. #11763015 | C4 | semidirect |
| 185. #1276 | D17 | semidirect |
| 287. C17 | #8972 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538856 | 2 |
| #14537913 | 2 |
| #14529761 | 2 |
| C4×#10587476 | 2 |
| #14527204 | 2 |
| #14526675 | 2 |
| C17×#1276 | 2 |
| #8972 | 17 |