Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
300 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 123. C3×C5 | #398 | semidirect |
| 158. C5 | #4981 | semidirect |
| 169. C3 | #65272 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C5×C4⋊C4 | 2 |
| C2×C4⋊Dic15 | 2 |
| C2×#6712 | 2 |
| #91115 | 2 |
| #65272 | 3 |
| #4981 | 5 |