Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C27 |
| direct product | C2×C3×#4028 |
| Fitting | C2×C3×C5×C22⋊C4 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#120 |
| Sylow | C5 ⋊ C2×C3×#120 |
1324 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
204 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10599755, #14301647, C3×#10599763, … |
| maximal normal subgroup of | C3×#10599755, #14301647, C3×#10599763, … |
| maximal quotient of | C2×C3×#65244, C2×C3×#64957, C2×C3×#65239, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9693);