Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
228 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 60 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. C4⋊C4×D15 | C2 | semidirect |
| 3. C5×#809 | C2 | semidirect |
| 4. C3×#3939 | C2 | semidirect |
| 5. #90990 | C2 | semidirect |
| 6. #90967 | C2 | semidirect |
| 7. #90957 | C2 | semidirect |
| 27. #3939 | D3 | semidirect |
| 48. #809 | D5 | semidirect |
| 152. C3×C5 | #480 | semidirect |
| 191. C5 | #4882 | semidirect |
| 205. C3 | #65063 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊C4×D15 | 2 |
| #91466 | 2 |
| C5×#809 | 2 |
| C3×#3939 | 2 |
| #90990 | 2 |
| #90967 | 2 |
| #90957 | 2 |
| #65063 | 3 |
| #4882 | 5 |