Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
204 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 66 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. C3×#4016 | C2 | semidirect |
| 3. C5×C4⋊(C3⋊C8) | C2 | semidirect |
| 4. #90990 | C2 | semidirect |
| 5. #90987 | C2 | semidirect |
| 22. #4016 | D3 | semidirect |
| 46. C4⋊(C3⋊C8) | D5 | semidirect |
| 138. C3×C5 | #478 | semidirect |
| 170. C5 | #5066 | semidirect |
| 182. C3 | #65136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D60 | 2 |
| C3×#4016 | 2 |
| C5×C4⋊(C3⋊C8) | 2 |
| #90990 | 2 |
| #90987 | 2 |
| #90968 | 2 |
| #65136 | 3 |
| #5066 | 5 |