Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
568 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 88 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. #14544483 | C2 | semidirect |
| 2. #14544017 | C2 | semidirect |
| 3. #14543762 | C2 | semidirect |
| 14. #11762723 | C4 | semidirect |
| 18. #11762675 | C4 | semidirect |
| 19. C2×C17×#127 | C4 | semidirect |
| 174. C2×#127 | #595 | semidirect |
| 228. C17 | #11693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544483 | 2 |
| #14544017 | 2 |
| #14543762 | 2 |
| #14534535 | 2 |
| #11693 | 17 |