Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#92017 |
| Fitting | C22×C3×C4×C5 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×H(5,𝔽2) |
| Sylow | C5 ⋊ C2×#1004 |
| Sylow | C3 ⋊ C2×#4149 |
1796 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
126 conjugacy classes — view the full character table.
| maximal subgroup of | #14297191, #14297206, #14297211, … |
| maximal normal subgroup of | #14297191, #14297206, #14297211, … |
| maximal quotient of | C2×#11754625, C2×#11754488, C2×#11752729, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11214);