Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
180 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 180 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 |
|---|---|---|
| 136. C3×C5 | #491 | semidirect |
| 165. C5 | #4703 | semidirect |
| 175. C3 | #65086 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91388 | 2 |
| #91376 | 2 |
| #91100 | 2 |
| C5×#816 | 2 |
| C3×#3947 | 2 |
| #90975 | 2 |
| #90973 | 2 |
| #65086 | 3 |
| #4703 | 5 |