Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
654 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 654 conjugacy classes of subgroups — too many to draw. Only its 136 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. #11762705 | C4 | semidirect |
| 16. #11762679 | C4 | semidirect |
| 19. C2×C17×C4⋊Q8 | C4 | semidirect |
| 47. #10587543 | Q8 | semidirect |
| 185. C2×C4⋊Q8 | #595 | semidirect |
| 242. C17 | #9885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587543 | 2 |
| #14543962 | 2 |
| #14543657 | 2 |
| #14537131 | 2 |
| #9885 | 17 |