Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
260 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 116 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 |
|---|---|---|
| 4. C8×Dic15 | C2 | semidirect |
| 5. C3×C8×Dic5 | C2 | semidirect |
| 6. #90954 | C2 | semidirect |
| 7. #90952 | C2 | semidirect |
| 14. C5×D3×C8 | C4 | semidirect |
| 19. #6650 | C4 | semidirect |
| 27. C8×Dic5 | D3 | semidirect |
| 76. D3×C8 | Dic5 | semidirect |
| 128. C3×C5 | #405 | semidirect |
| 154. C5 | #4689 | semidirect |
| 163. C3 | #65390 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×D3×C8 | 2 |
| #91371 | 2 |
| C2×#6650 | 2 |
| C8×Dic15 | 2 |
| C3×C8×Dic5 | 2 |
| #90954 | 2 |
| #90952 | 2 |
| #65390 | 3 |
| #4689 | 5 |