Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#91400 |
| Hall | C3×C5 ⋊ C2×#117 |
| Sylow | C5 ⋊ C2×#892 |
| Sylow | C3 ⋊ C2×#4023 |
660 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
132 conjugacy classes — view the full character table.
| maximal subgroup of | #14280817, #14280842, #14281035, … |
| maximal normal subgroup of | #14280817, #14280842, #14281035, … |
| maximal quotient of | C2×#11748653, C2×#11748886, C2×#11748637, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8487);