Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
542 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14540096 | C2 | semidirect |
| 2. #14538879 | C2 | semidirect |
| 4. #14529582 | C2 | semidirect |
| 5. #14527394 | C2 | semidirect |
| 6. #14526653 | C2 | semidirect |
| 7. C17×#1531 | C2 | semidirect |
| 182. #1531 | D17 | semidirect |
| 289. C17 | #10027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540096 | 2 |
| #14538879 | 2 |
| #14538876 | 2 |
| #14529582 | 2 |
| #14527394 | 2 |
| #14526653 | 2 |
| C17×#1531 | 2 |
| #10027 | 17 |