Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
200 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 60 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 |
| 4. C5×#819 | C2 | semidirect |
| 5. #90963 | C2 | semidirect |
| 40. #819 | D5 | semidirect |
| 119. C3×C5 | #473 | semidirect |
| 144. C5 | #5143 | semidirect |
| 151. C3 | #65185 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic60 | 2 |
| C3×#4047 | 2 |
| #91313 | 2 |
| C5×#819 | 2 |
| #90963 | 2 |
| #65185 | 3 |
| #5143 | 5 |