Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
228 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 72 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. C2×Dic60 | C2 | semidirect |
| 4. C3×#3950 | C2 | semidirect |
| 5. #90974 | C2 | semidirect |
| 20. #3950 | D3 | semidirect |
| 51. C2×C5×D3 | Q16 | semidirect |
| 115. C3×C5 | #467 | semidirect |
| 119. C2×D3 | Dic20 | semidirect |
| 144. C5 | #4887 | semidirect |
| 154. C3 | #65405 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic60 | 2 |
| C2×C5×D3×C8 | 2 |
| #91365 | 2 |
| C3×#3950 | 2 |
| #90974 | 2 |
| #65405 | 3 |
| #4887 | 5 |