Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
268 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 268 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. #91435 | C2 | semidirect |
| 2. #91434 | C2 | semidirect |
| 4. C8×Dic15 | C2 | semidirect |
| 5. C5×#821 | C2 | semidirect |
| 6. C3×#3953 | C2 | semidirect |
| 7. #90989 | C2 | semidirect |
| 20. #6652 | C4 | semidirect |
| 26. #3953 | D3 | semidirect |
| 36. C5×D12 | C2×C4 | semidirect |
| 39. C3×D20 | C2×C4 | semidirect |
| 43. C3⋊#168 | C2×C4 | semidirect |
| 48. #821 | D5 | semidirect |
| 74. Dic15 | D8 | semidirect |
| 100. D20 | C4×D3 | semidirect |
| 127. D12 | C4×D5 | semidirect |
| 156. C3×C5 | C4×D8 | semidirect |
| 195. C5 | #4756 | semidirect |
| 209. C3 | #65045 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91435 | 2 |
| #91434 | 2 |
| C2×#6652 | 2 |
| C8×Dic15 | 2 |
| C5×#821 | 2 |
| C3×#3953 | 2 |
| #90989 | 2 |
| #65045 | 3 |
| #4756 | 5 |