Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
216 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 76 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. #91758 | C2 | semidirect |
| 3. C3×C4⋊#168 | C2 | semidirect |
| 4. #90988 | C2 | semidirect |
| 21. C4⋊#168 | D3 | semidirect |
| 30. C5×D12 | Q8 | semidirect |
| 94. D12 | Dic10 | semidirect |
| 117. C3×C5 | #474 | semidirect |
| 147. C5 | #4846 | semidirect |
| 158. C3 | #65296 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91758 | 2 |
| C4×C5×D12 | 2 |
| C3×C4⋊#168 | 2 |
| #90988 | 2 |
| #90967 | 2 |
| #65296 | 3 |
| #4846 | 5 |