Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#92035 |
| Fitting | C2×C3×C5×Q8 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×H(5,𝔽2) |
| Sylow | C5 ⋊ C2×#1009 |
| Sylow | C3 ⋊ C2×#4149 |
1796 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
114 conjugacy classes — view the full character table.
| maximal subgroup of | #14297365, #14412008, #14412189, … |
| maximal normal subgroup of | #14297365, #14412008, #14412189, … |
| maximal quotient of | C2×#11753837, C2×#11753841, C2×#11753839, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11239);