Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
284 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 35. #10587545 | C8 | semidirect |
| 38. C17×#101 | C8 | semidirect |
| 39. #10587507 | C8 | semidirect |
| 166. #101 | #3633 | semidirect |
| 172. C17 | #7206 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| (C2×#3633)⋊Q8 | 2 |
| #14545899 | 2 |
| #101×#595 | 2 |
| #7206 | 17 |