Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×Dic5×#67 |
| Hall | C3×C5 ⋊ C2×C4×D4 |
| Sylow | C5 ⋊ C2×C4×#67 |
| Sylow | C3 ⋊ C2×D4×Dic5 |
852 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | #14280886, #14281104, Dic5×#806, … |
| maximal normal subgroup of | #14280886, #14281104, Dic5×#806, … |
| maximal quotient of | C2×Dic5×(C2×D3)⋊C4, C2×Dic5×#217, C2×Dic5×Dic3⋊C4, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9579);