Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
164 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 48 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. C3×D5×Q16 | C2 | semidirect |
| 3. #91112 | C2 | semidirect |
| 4. C5×#829 | C2 | semidirect |
| 5. #90946 | C2 | semidirect |
| 6. #90943 | C2 | semidirect |
| 7. #90934 | C2 | semidirect |
| 22. D5×Q16 | D3 | semidirect |
| 42. #829 | D5 | semidirect |
| 126. C3×C5 | #510 | semidirect |
| 151. C5 | #5179 | semidirect |
| 159. C3 | #65207 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×D5×Q16 | 2 |
| #91271 | 2 |
| #91112 | 2 |
| C5×#829 | 2 |
| #90946 | 2 |
| #90943 | 2 |
| #90934 | 2 |
| #65207 | 3 |
| #5179 | 5 |