Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
254 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 72 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 |
|---|---|---|
| 19. #11762633 | C4 | semidirect |
| 20. #11762632 | C4 | semidirect |
| 21. #11762631 | C4 | semidirect |
| 22. C17×#365 | C4 | semidirect |
| 137. #365 | #595 | semidirect |
| 174. C17 | #13117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544891 | 2 |
| #108×#595 | 2 |
| #14543866 | 2 |
| #14543862 | 2 |
| #14543853 | 2 |
| #14543827 | 2 |
| #14530555 | 2 |
| #13117 | 17 |