Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×C3×C4×D20 |
| Fitting | C2×C3×C42×C5 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×C4×D4 |
| Sylow | C5 ⋊ C2×C3×C4×D4 |
852 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
312 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#10604160, #14280858, C3×#10601576, … |
| maximal normal subgroup of | C3×#10604160, #14280858, C3×#10601576, … |
| maximal quotient of | C2×C3×C4×#685, C2×C3×C4×C4⋊Dic5, C3×C42×D20, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9679);