Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
246 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 27. #10587535 | C8 | semidirect |
| 34. C17×#108 | C8 | semidirect |
| 36. #10587490 | C8 | semidirect |
| 135. #108 | #3633 | semidirect |
| 144. C17 | #7176 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #595⋊M32 | 2 |
| C2×#11763899 | 2 |
| #108×#595 | 2 |
| #7176 | 17 |