Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
180 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 58 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 | #4797 | semidirect |
| 175. C3 | #65086 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91779 | 2 |
| #91385 | 2 |
| C5×#810 | 2 |
| C3×#3942 | 2 |
| #90973 | 2 |
| #90971 | 2 |
| #90954 | 2 |
| #65086 | 3 |
| #4797 | 5 |