Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
476 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
|---|---|---|
| 2. C2×C3×#683 | C2 | semidirect |
| 3. C2×(C2×D3)⋊Dic5 | C2 | semidirect |
| 4. C2×(C2×D3)⋊Dic5 | C2 | semidirect |
| 5. #91115 | C2 | semidirect |
| 21. C2×#683 | D3 | semidirect |
| 41. C2×C3×Dic5 | D4 | semidirect |
| 102. C2×Dic5 | D12 | semidirect |
| 159. C3×C5 | #394 | semidirect |
| 207. C5 | #4991 | semidirect |
| 224. C3 | #65511 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C5×D12 | 2 |
| C2×C3×#683 | 2 |
| C2×(C2×D3)⋊Dic5 | 2 |
| #91115 | 2 |
| #65511 | 3 |
| #4991 | 5 |