Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
370 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 108 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. #11763213 | C4 | semidirect |
| 13. #11763211 | C4 | semidirect |
| 19. C17×#499 | C4 | semidirect |
| 35. #10587530 | Q8 | semidirect |
| 114. #499 | #595 | semidirect |
| 154. C17 | #13287 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544991 | 2 |
| #14544719 | 2 |
| #14543855 | 2 |
| #14539297 | 2 |
| #13287 | 17 |