Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
540 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14536770 | C2 | semidirect |
| 5. #14526910 | C2 | semidirect |
| 6. #14526910 | C2 | semidirect |
| 7. C17×#1394 | C2 | semidirect |
| 207. #1394 | D17 | semidirect |
| 303. C17 | #13379 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14536770 | 2 |
| #14528745 | 2 |
| #14528742 | 2 |
| #14526910 | 2 |
| C17×#1394 | 2 |
| #13379 | 17 |