Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
264 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 1. #91418 | C2 | semidirect |
| 2. Dic5×D12 | C2 | semidirect |
| 4. #91105 | C2 | semidirect |
| 5. C5×#821 | C2 | semidirect |
| 6. C3×#3947 | C2 | semidirect |
| 7. #90985 | C2 | semidirect |
| 20. #6654 | C4 | semidirect |
| 27. #3947 | D3 | semidirect |
| 34. D60 | C2×C4 | semidirect |
| 37. C5×D12 | C2×C4 | semidirect |
| 43. C3×#168 | C2×C4 | semidirect |
| 49. #821 | D5 | semidirect |
| 103. #168 | C4×D3 | semidirect |
| 126. D12 | C4×D5 | semidirect |
| 156. C3×C5 | #442 | semidirect |
| 195. C5 | #4711 | semidirect |
| 209. C3 | #65074 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91418 | 2 |
| Dic5×D12 | 2 |
| C2×#6654 | 2 |
| #91105 | 2 |
| C5×#821 | 2 |
| C3×#3947 | 2 |
| #90985 | 2 |
| #65074 | 3 |
| #4711 | 5 |