Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D3×#4075 |
| Fitting | C22×C3×C4×C5 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×#123 |
| Sylow | C5 ⋊ D3×#123 |
| Sylow | C3 ⋊ C2×#4075 |
684 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
138 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#64916, D3×#65342, D3×D5×#123, … |
| maximal normal subgroup of | D3×#64916, D3×#65342, D3×D5×#123, … |
| maximal quotient of | D3×#65500, D3×#65499, D3×#65502, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8847);