Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
164 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 59 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. C2×Dic60 | C2 | semidirect |
| 3. C3×C5×M32 | C2 | semidirect |
| 4. Dic120 | C2 | semidirect |
| 5. #91084 | C2 | semidirect |
| 19. C5×M32 | D3 | semidirect |
| 34. C3×M32 | D5 | semidirect |
| 76. M32 | D15 | semidirect |
| 105. C3×C5 | #510 | semidirect |
| 128. C5 | #4909 | semidirect |
| 135. C3 | #65198 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic60 | 2 |
| #91793 | 2 |
| C3×C5×M32 | 2 |
| Dic120 | 2 |
| #91084 | 2 |
| #65198 | 3 |
| #4909 | 5 |