Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
164 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 44 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. #91264 | C2 | semidirect |
| 3. #91082 | C2 | semidirect |
| 4. C5×#800 | C2 | semidirect |
| 5. C3×Dic40 | C2 | semidirect |
| 6. #90946 | C2 | semidirect |
| 7. #90941 | C2 | semidirect |
| 26. Dic40 | D3 | semidirect |
| 44. #800 | D5 | semidirect |
| 126. C3×C5 | #510 | semidirect |
| 151. C5 | #4918 | semidirect |
| 159. C3 | #65204 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91279 | 2 |
| #91264 | 2 |
| #91082 | 2 |
| C5×#800 | 2 |
| C3×Dic40 | 2 |
| #90946 | 2 |
| #90941 | 2 |
| #65204 | 3 |
| #4918 | 5 |