Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
228 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 64 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. D3×C4⋊Dic5 | C2 | semidirect |
| 3. #91101 | C2 | semidirect |
| 4. C5×(C2×D3)⋊C8 | C2 | semidirect |
| 5. C3×#3953 | C2 | semidirect |
| 6. #90987 | C2 | semidirect |
| 7. #90965 | C2 | semidirect |
| 25. #3953 | D3 | semidirect |
| 47. (C2×D3)⋊C8 | D5 | semidirect |
| 152. C3×C5 | #481 | semidirect |
| 191. C5 | #4777 | semidirect |
| 205. C3 | #65024 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91456 | 2 |
| D3×C4⋊Dic5 | 2 |
| #91101 | 2 |
| C5×(C2×D3)⋊C8 | 2 |
| C3×#3953 | 2 |
| #90987 | 2 |
| #90965 | 2 |
| #65024 | 3 |
| #4777 | 5 |