Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
382 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 92. C42×C17 | Q16 | semidirect |
| 238. C17 | #10523 | semidirect |
| 281. C42 | #63231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540126 | 2 |
| #14529761 | 2 |
| #14528901 | 2 |
| #14527475 | 2 |
| #14527474 | 2 |
| #14526658 | 2 |
| C17×#1994 | 2 |
| #10523 | 17 |