Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C25 |
| direct product | C3×C4×#709 |
| Fitting | C2×C3×C42×C5 ⋊ C2 |
| Hall | C3×C5 ⋊ C4×#41 |
| Sylow | C5 ⋊ C3×C4×#41 |
620 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
312 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#10601547, C3×#10600527, #14281586, … |
| maximal normal subgroup of | C3×#10601547, C3×#10600527, #14281586, … |
| maximal quotient of | C3×C4×#4072, C3×C4×#4018, C3×C42×C22⋊D5, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9680);