Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
188 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 8. C4×Dic15 | C4 | semidirect |
| 11. C4×C5×Dic3 | C4 | semidirect |
| 14. C2×C3×#168 | C4 | semidirect |
| 41. C2×#168 | Dic3 | semidirect |
| 62. C4×Dic3 | Dic5 | semidirect |
| 110. C3×C5 | H(3,ℤ/4) | semidirect |
| 139. C5 | #4557 | semidirect |
| 150. C3 | #64751 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91815 | 2 |
| C5×#926 | 2 |
| C2×C3×#681 | 2 |
| #64751 | 3 |
| #4557 | 5 |