Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D4×D5×Dic3 |
| Hall | C3×C5 ⋊ C2×C4×D4 |
| Sylow | C5 ⋊ C2×D4×Dic3 |
| Sylow | C3 ⋊ C4×D4×D5 |
852 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
120 conjugacy classes — view the full character table.
| maximal subgroup of | Dic3×#4007, #14295838, #14297667, … |
| maximal normal subgroup of | Dic3×#4007, #14295838, #14297667, … |
| maximal quotient of | D5×Dic3×C22⋊C4, D5×Dic3×C4⋊C4, Dic3×#4039, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8952);