Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
354 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 12. #11763214 | C4 | semidirect |
| 14. #11763210 | C4 | semidirect |
| 19. C17×#500 | C4 | semidirect |
| 38. #10587530 | Q8 | semidirect |
| 126. #500 | #595 | semidirect |
| 172. C17 | #13288 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544991 | 2 |
| #14544721 | 2 |
| #14543855 | 2 |
| #14539295 | 2 |
| #13288 | 17 |