Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
212 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 212 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 |
|---|---|---|
| 3. #91225 | C2 | semidirect |
| 4. C3×#3996 | C2 | semidirect |
| 5. #91161 | C2 | semidirect |
| 22. #3996 | D3 | semidirect |
| 92. D15 | #108 | semidirect |
| 127. C3×C5 | C2×#108 | semidirect |
| 157. C5 | D3×#108 | semidirect |
| 166. C3 | D5⋊#108 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91915 | 2 |
| D3×C8×D5 | 2 |
| #91225 | 2 |
| C3×#3996 | 2 |
| #91161 | 2 |
| D5⋊#108 | 3 |
| D3×#108 | 5 |