Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
240 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 78 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. C4×C5×Dic6 | C2 | semidirect |
| 4. C3×#3935 | C2 | semidirect |
| 5. #90988 | C2 | semidirect |
| 6. #90973 | C2 | semidirect |
| 20. #6660 | C4 | semidirect |
| 28. #3935 | D3 | semidirect |
| 40. C5×Dic6 | C2×C4 | semidirect |
| 42. C3×#168 | C2×C4 | semidirect |
| 45. C4×Dic6 | D5 | semidirect |
| 99. #168 | C4×D3 | semidirect |
| 122. Dic6 | C4×D5 | semidirect |
| 148. C3×C5 | #440 | semidirect |
| 182. C5 | #4710 | semidirect |
| 194. C3 | #65315 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D60 | 2 |
| C4×C5×Dic6 | 2 |
| C2×#6660 | 2 |
| C3×#3935 | 2 |
| #90988 | 2 |
| #90973 | 2 |
| #90969 | 2 |
| #65315 | 3 |
| #4710 | 5 |