Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
620 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. #14531695 | C2 | semidirect |
| 3. #14527345 | C2 | semidirect |
| 4. #14527278 | C2 | semidirect |
| 5. #14527176 | C2 | semidirect |
| 6. #14526644 | C2 | semidirect |
| 7. C17×#1303 | C2 | semidirect |
| 13. #11763015 | C4 | semidirect |
| 14. #11763005 | C4 | semidirect |
| 49. #10587560 | C2×C4 | semidirect |
| 58. #10587555 | C2×C4 | semidirect |
| 61. C17×C4⋊C8 | C2×C4 | semidirect |
| 187. #1303 | D17 | semidirect |
| 276. C4⋊C8 | C4×D17 | semidirect |
| 288. C17 | #9179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538250 | 2 |
| #14531695 | 2 |
| #14527345 | 2 |
| #14527278 | 2 |
| #14527176 | 2 |
| #14526644 | 2 |
| C17×#1303 | 2 |
| #9179 | 17 |