Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
510 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14539795 | C2 | semidirect |
| 3. #14538793 | C2 | semidirect |
| 4. #14527421 | C2 | semidirect |
| 5. #14527124 | C2 | semidirect |
| 6. #14526646 | C2 | semidirect |
| 7. C17×#1496 | C2 | semidirect |
| 175. #1496 | D17 | semidirect |
| 280. C17 | #10039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539795 | 2 |
| #14538871 | 2 |
| #14538793 | 2 |
| #14527421 | 2 |
| #14527124 | 2 |
| #14526646 | 2 |
| C17×#1496 | 2 |
| #10039 | 17 |