Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
494 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 3. #14527456 | C2 | semidirect |
| 5. #14526642 | C2 | semidirect |
| 6. #14526615 | C2 | semidirect |
| 7. C17×#1960 | C2 | semidirect |
| 10. #11763212 | C4 | semidirect |
| 11. #11763157 | C4 | semidirect |
| 159. #1960 | D17 | semidirect |
| 249. C17 | #9291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539905 | 2 |
| #14537503 | 2 |
| #14527456 | 2 |
| #14527343 | 2 |
| #14526642 | 2 |
| #14526615 | 2 |
| C17×#1960 | 2 |
| #9291 | 17 |