Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #6758 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#91989 |
| unambiguous semidirect product | D5⋊#926 |
| Fitting | C22×C3×C4×C5 ⋊ C4 |
| Hall | C3×C5 ⋊ C2×#117 |
| Sylow | C5 ⋊ C2×#926 |
| Sylow | C3 ⋊ C2×#4130 |
660 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
120 conjugacy classes — view the full character table.
| maximal subgroup of | #14294343, #14294349, #14294367, … |
| maximal normal subgroup of | #14294343, #14294349, #14294367, … |
| maximal quotient of | C2×#11752345, C2×C4×#6763, C2×C4×C4⋊ΓL(1,𝔽16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11178);