Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
262 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 262 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. #11762636 | C4 | semidirect |
| 20. #11762636 | C4 | semidirect |
| 21. #11762635 | C4 | semidirect |
| 22. C17×#366 | C4 | semidirect |
| 140. #366 | #595 | semidirect |
| 178. C17 | #13113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544892 | 2 |
| #14544588 | 2 |
| #14543845 | 2 |
| #14543844 | 2 |
| #14543821 | 2 |
| #14530565 | 2 |
| #13113 | 17 |