Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
172 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 79. C3×C5 | #338 | semidirect |
| 100. C5 | C3⋊#338 | semidirect |
| 107. C3 | #64897 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5⋊#208 | 2 |
| C2×C3×#676 | 2 |
| #64897 | 3 |
| C3⋊#338 | 5 |