Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
350 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 15. #11762939 | C4 | semidirect |
| 17. Q8×#3622 | C4 | semidirect |
| 19. #11762933 | C4 | semidirect |
| 24. C17×#446 | C4 | semidirect |
| 149. #446 | #595 | semidirect |
| 204. C17 | #8681 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544706 | 2 |
| #14544332 | 2 |
| #14544217 | 2 |
| #14543639 | 2 |
| #14537715 | 2 |
| #8681 | 17 |