Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
180 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 113. C3×C5 | #341 | semidirect |
| 141. C5 | #4558 | semidirect |
| 150. C3 | #64901 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5⋊#208 | 2 |
| C2×D5⋊(C3⋊C8) | 2 |
| C3×D5×M16 | 2 |
| #64901 | 3 |
| #4558 | 5 |