Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1234 conjugacy classes of subgroups; only the 224 normal subgroups are shown.
This group has 1234 conjugacy classes of subgroups — too many to draw. Only its 224 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⋊#432 | C2 | semidirect |
| 2. #14544263 | C2 | semidirect |
| 3. #14544254 | C2 | semidirect |
| 6. #11763831 | C22 | semidirect |
| 11. #11763768 | C22 | semidirect |
| 12. #11763664 | C22 | semidirect |
| 238. C17 | #17675 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#432 | 2 |
| #14544263 | 2 |
| #14544254 | 2 |
| C2×#11763357 | 2 |
| #17675 | 17 |