Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
268 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 88 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. C3×D4×Dic5 | C2 | semidirect |
| 3. Dic5×D12 | C2 | semidirect |
| 4. #91116 | C2 | semidirect |
| 5. #90990 | C2 | semidirect |
| 6. #90966 | C2 | semidirect |
| 7. Dic5×C3⋊C8 | C2 | semidirect |
| 15. C5×#213 | C4 | semidirect |
| 24. D4×Dic5 | D3 | semidirect |
| 32. C3×C5×D4 | C2×C4 | semidirect |
| 36. C5×D12 | C2×C4 | semidirect |
| 43. C5×C3⋊C8 | C2×C4 | semidirect |
| 76. C3×Dic5 | D8 | semidirect |
| 84. #213 | Dic5 | direct (N × H) |
| 94. C5×D4 | C4×D3 | semidirect |
| 119. C3×D4 | C2×Dic5 | semidirect |
| 127. D12 | C2×Dic5 | semidirect |
| 130. C3⋊C8 | C2×Dic5 | semidirect |
| 143. Dic5 | #213 | direct (N × H) |
| 156. C3×C5 | C4×D8 | semidirect |
| 180. D4 | D3×Dic5 | semidirect |
| 195. C5 | C4×#213 | semidirect |
| 209. C3 | D8×Dic5 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#213 | 2 |
| C3×D4×Dic5 | 2 |
| Dic5×D12 | 2 |
| #91116 | 2 |
| #90990 | 2 |
| #90966 | 2 |
| Dic5×C3⋊C8 | 2 |
| D8×Dic5 | 3 |
| C4×#213 | 5 |