Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | Dic5×(C2×D3)⋊C4 |
| Hall | C3×C5 ⋊ C4×C22⋊C4 |
| Sylow | C5 ⋊ C4×(C2×D3)⋊C4 |
| Sylow | C3 ⋊ C22⋊C4×Dic5 |
516 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | #14295191, #170×(C2×D3)⋊C4, #14295254, … |
| maximal normal subgroup of | #14295191, #170×(C2×D3)⋊C4, #14295254, … |
| maximal quotient of | Dic5×C3⋊#95, #14279871, #14279901, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3068);