Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
356 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 148 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 |
|---|---|---|
| 12. C4×C5×Dic3 | C4 | semidirect |
| 13. Dic3×Dic5 | C4 | semidirect |
| 63. C4×Dic3 | Dic5 | semidirect |
| 119. C3×C5 | #376 | semidirect |
| 154. C5 | #4648 | semidirect |
| 165. C3 | #65221 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C5×Dic3 | 2 |
| C2×Dic3×Dic5 | 2 |
| #91115 | 2 |
| C3×#3963 | 2 |
| #90994 | 2 |
| #65221 | 3 |
| #4648 | 5 |