Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of D3×D5 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C22×C4×D3×D5 |
| Fitting | C22×C3×C4×C5 ⋊ C22 |
| derived, Hall | C3×C5 ⋊ C24×C4 |
| Sylow | C5 ⋊ C23×C4×D3 |
| Sylow | C3 ⋊ C23×C4×D5 |
2724 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
192 conjugacy classes — view the full character table.
| maximal subgroup of | #14279881, #14296801, #14296807, … |
| maximal normal subgroup of | #14279881, #14296801, #14296807, … |
| maximal quotient of | C2×C42×D3×D5, C22×C4×D5×Dic3, C22×C4×#1200, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11207);