Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
406 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 116 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 |
|---|---|---|
| 27. C4×Q8×C17 | C8 | semidirect |
| 185. C4×Q8 | #3624 | semidirect |
| 209. C17 | #7596 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544711 | 2 |
| #14544699 | 2 |
| #14543604 | 2 |
| #14543602 | 2 |
| #14531262 | 2 |
| #7596 | 17 |