Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
410 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 43. C17×#101 | C8 | semidirect |
| 44. #10587507 | C8 | semidirect |
| 45. #10587495 | C8 | semidirect |
| 161. #101 | #3633 | semidirect |
| 168. C17 | #8836 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14546027 | 2 |
| (C2×#3633)⋊Q8 | 2 |
| #14545909 | 2 |
| #14545791 | 2 |
| #101×#595 | 2 |
| #8836 | 17 |