Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | Dic3×#683 |
| Hall | C3×C5 ⋊ C4×C4⋊C4 |
| Sylow | C5 ⋊ Dic3×C4⋊C4 |
| Sylow | C3 ⋊ C4×#683 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
156 conjugacy classes — view the full character table.
| maximal subgroup of | #14319445, D5×Dic3×C4⋊C4, C4×D3×#683, … |
| maximal normal subgroup of | #14319445, D5×Dic3×C4⋊C4, C4×D3×#683, … |
| maximal quotient of | Dic3×#3963, #14279904, #14279934, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2831);