Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
168 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 68 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. C16×D15 | C2 | semidirect |
| 3. C5×#798 | C2 | semidirect |
| 4. C3×#3930 | C2 | semidirect |
| 5. #90936 | C2 | semidirect |
| 6. D3×#672 | C2 | semidirect |
| 7. D5×C3⋊C16 | C2 | semidirect |
| 25. #3930 | D3 | semidirect |
| 43. #798 | D5 | semidirect |
| 127. C3×C5 | #504 | semidirect |
| 154. C5 | #4907 | semidirect |
| 162. C3 | #65196 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91265 | 2 |
| C16×D15 | 2 |
| C5×#798 | 2 |
| C3×#3930 | 2 |
| #90936 | 2 |
| D3×#672 | 2 |
| D5×C3⋊C16 | 2 |
| #65196 | 3 |
| #4907 | 5 |