Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
292 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 4. #91108 | C2 | direct (N × H) |
| 105. C2×C3×C5 | #101 | semidirect |
| 146. C3×C5 | C2×#101 | semidirect |
| 158. C2×C5 | #824 | semidirect |
| 178. C2×C3 | #3956 | semidirect |
| 180. C5 | C2×#824 | semidirect |
| 190. C3 | C2×#3956 | semidirect |
| 193. C2 | #91108 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic30 | 2 |
| C2×C3×C5×M16 | 2 |
| C2×#6710 | 2 |
| #91108 | 2 |
| C2×#3956 | 3 |
| C2×#824 | 5 |