Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4×C5 · Schur multiplier (H2) = C26 |
| direct product | C2×C4×C5×#67 |
| Fitting | C23×C3×C4×C5 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×C4×D4 |
| Sylow | C3 ⋊ C2×C4×C5×D4 |
852 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×#69919, #14280874, C5×#69968, … |
| maximal normal subgroup of | C5×#69919, #14280874, C5×#69968, … |
| maximal quotient of | C2×C4×C5×#217, C2×C4×C5×(C2×D3)⋊C4, C2×C4×C5×Dic3⋊C4, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10368);