Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
496 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14537422 | C2 | semidirect |
| 3. #14527383 | C2 | semidirect |
| 4. #14526676 | C2 | semidirect |
| 5. C17×#1464 | C2 | semidirect |
| 58. #10587474 | D4 | semidirect |
| 151. #1464 | D17 | semidirect |
| 241. C17 | #9389 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537422 | 2 |
| #14534471 | 2 |
| #14527383 | 2 |
| #14526676 | 2 |
| C17×#1464 | 2 |
| #9389 | 17 |