Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
240 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 240 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 |
|---|---|---|
| 1. #91833 | C2 | semidirect |
| 5. C3×#3967 | C2 | semidirect |
| 6. #90983 | C2 | semidirect |
| 7. #90974 | C2 | semidirect |
| 27. #3967 | D3 | semidirect |
| 76. Dic15 | SD16 | semidirect |
| 158. C3×C5 | #461 | semidirect |
| 194. C5 | #4818 | semidirect |
| 206. C3 | #65451 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91833 | 2 |
| C2×C5×#215 | 2 |
| #91435 | 2 |
| C2×#6659 | 2 |
| C3×#3967 | 2 |
| #90983 | 2 |
| #90974 | 2 |
| #65451 | 3 |
| #4818 | 5 |