Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×D3×#709 |
| Fitting | C22×C3×C4×C5 ⋊ C22 |
| Hall | C3×C5 ⋊ C22×#41 |
| Sylow | C5 ⋊ C2×D3×#41 |
| Sylow | C3 ⋊ C22×#709 |
1780 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
156 conjugacy classes — view the full character table.
| maximal subgroup of | #14297105, #14297117, D3×#65016, … |
| maximal normal subgroup of | #14297105, #14297117, D3×#65016, … |
| maximal quotient of | C2×D3×#4018, C2×D3×#4072, C2×C4×D3×C22⋊D5, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11212);