Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
464 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 82 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. #14545012 | C2 | semidirect |
| 2. #14544660 | C2 | semidirect |
| 3. #14543770 | C2 | semidirect |
| 8. #11763704 | C22 | semidirect |
| 10. #11763683 | C22 | semidirect |
| 15. #11763042 | C4 | semidirect |
| 17. C2×#10587489 | C4 | semidirect |
| 19. C22×D8×C17 | C4 | semidirect |
| 152. C22×D8 | #595 | semidirect |
| 203. C17 | #11888 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545012 | 2 |
| #14544660 | 2 |
| #14543770 | 2 |
| C2×#11763042 | 2 |
| #11888 | 17 |