Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
272 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 76 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. #11762637 | C4 | semidirect |
| 20. #11762636 | C4 | semidirect |
| 21. #11762634 | C4 | semidirect |
| 22. C17×#366 | C4 | semidirect |
| 144. #366 | #595 | semidirect |
| 182. C17 | #13118 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544889 | 2 |
| #14544591 | 2 |
| #14543858 | 2 |
| #14543855 | 2 |
| #14543849 | 2 |
| #14543824 | 2 |
| #14530569 | 2 |
| #13118 | 17 |