Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
294 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 14. #11763650 | C4 | semidirect |
| 15. C8×#3624 | C4 | semidirect |
| 19. #11762531 | C4 | semidirect |
| 20. #11762531 | C4 | semidirect |
| 21. #11762530 | C4 | semidirect |
| 22. C17×#322 | C4 | semidirect |
| 133. #322 | #595 | semidirect |
| 166. C17 | #8141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544502 | 2 |
| #14543988 | 2 |
| #14543609 | 2 |
| #14543607 | 2 |
| #14527075 | 2 |
| #8141 | 17 |