Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×D3×C4⋊Dic5 |
| Hall | C3×C5 ⋊ C22×C4⋊C4 |
| Sylow | C5 ⋊ C2×D3×C4⋊C4 |
| Sylow | C3 ⋊ C22×C4⋊Dic5 |
836 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
156 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#64913, #14281007, D3×#64749, … |
| maximal normal subgroup of | D3×#64913, #14281007, D3×#64749, … |
| maximal quotient of | C2×D3×#3963, C4×D3×C4⋊Dic5, C2×#11748667, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8554);