Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
684 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 684 conjugacy classes of subgroups — too many to draw. Only its 130 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 |
|---|---|---|
| 11. C2×#10587555 | C4 | semidirect |
| 16. #11762708 | C4 | semidirect |
| 19. C17×#384 | C4 | semidirect |
| 45. (C2×#595)⋊C4 | Q8 | semidirect |
| 184. #384 | #595 | semidirect |
| 229. C17 | #9908 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544639 | 2 |
| C4×(C2×#595)⋊C4 | 2 |
| #14543657 | 2 |
| #14537137 | 2 |
| #9908 | 17 |