Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
402 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14537169 | C2 | semidirect |
| 5. #14526644 | C2 | semidirect |
| 6. #14526616 | C2 | semidirect |
| 7. C17×#1286 | C2 | semidirect |
| 145. #1286 | D17 | semidirect |
| 223. C17 | #10368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537169 | 2 |
| #14529611 | 2 |
| #14527345 | 2 |
| #14527343 | 2 |
| #14526644 | 2 |
| #14526616 | 2 |
| C17×#1286 | 2 |
| #10368 | 17 |