Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C25 |
| direct product | C2×C5×#946 |
| Fitting | C22×C3×C5×Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×C22⋊Q8 |
| Sylow | C3 ⋊ C2×C5×C22⋊Q8 |
644 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
240 conjugacy classes — view the full character table.
| maximal subgroup of | C5×#70268, #14300623, C5×#70269, … |
| maximal normal subgroup of | C5×#70268, #14300623, C5×#70269, … |
| maximal quotient of | C2×C5×#4987, C2×C5×#4989, C2×C5×#4978, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10393);