Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
790 conjugacy classes of subgroups; only the 248 normal subgroups are shown.
This group has 790 conjugacy classes of subgroups — too many to draw. Only its 248 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 |
|---|---|---|
| 30. C17×#95 | C8 | semidirect |
| 157. #95 | #3624 | semidirect |
| 158. C17 | #11298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763675 | 2 |
| #95×Dic17 | 2 |
| #11298 | 17 |