Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | D3×#3930 |
| Fitting | C3×C5×C16 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×M32 |
| Sylow | C5 ⋊ D3×M32 |
| Sylow | C3 ⋊ C2×#3930 |
180 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 72 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
156 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#64846, D3×#64845, #14312774, … |
| maximal normal subgroup of | D3×#64846, D3×#64845, #14312774, … |
| maximal quotient of | D3×#64722, Dic3×#3930, #14312598, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 1003);