Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4×C5 · Schur multiplier (H2) = C25 |
| direct product | C4×C5×#235 |
| Fitting | C2×C3×C42×C5 ⋊ C2 |
| Hall | C3×C5 ⋊ C4×#41 |
| Sylow | C3 ⋊ C4×C5×#41 |
620 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×#70754, C5×#69734, #14281588, … |
| maximal normal subgroup of | C5×#70754, C5×#69734, #14281588, … |
| maximal quotient of | C4×C5×#926, C4×C5×#872, C42×C5×#67, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10054);