Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | Dic5×Dic3⋊C4 |
| Hall | C3×C5 ⋊ C4×C4⋊C4 |
| Sylow | C5 ⋊ C4×Dic3⋊C4 |
| Sylow | C3 ⋊ C4⋊C4×Dic5 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | #14296281, #170×Dic3⋊C4, #14296343, … |
| maximal normal subgroup of | #14296281, #170×Dic3⋊C4, #14296343, … |
| maximal quotient of | Dic5×C3⋊#95, #14279902, #14279936, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2834);