Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
318 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 36. C2×C16×C17 | Q8 | semidirect |
| 44. #10587488 | Q8 | semidirect |
| 50. C2×#63214 | Q8 | semidirect |
| 158. C2×C16 | Dic34 | semidirect |
| 172. C17 | #13459 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539307 | 2 |
| #14530558 | 2 |
| #14529535 | 2 |
| #14526886 | 2 |
| #14526885 | 2 |
| #14526863 | 2 |
| C17×#2155 | 2 |
| #13459 | 17 |