Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
220 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 81 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. #91233 | C2 | semidirect |
| 4. #91231 | C2 | semidirect |
| 109. C3×C5 | #432 | semidirect |
| 139. C5 | #4926 | semidirect |
| 150. C3 | #65684 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C42×D5 | 2 |
| #91233 | 2 |
| #91232 | 2 |
| #91231 | 2 |
| #65684 | 3 |
| #4926 | 5 |