Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of D80 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C23 |
| direct product | C2×C3×D80 |
| Fitting | C2×C3×C5×C16 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×D16 |
| Sylow | C5 ⋊ C2×C3×D16 |
196 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
258 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#10598068, C3×#10598087, #14279572, … |
| maximal normal subgroup of | C3×#10598068, C3×#10598087, #14279572, … |
| maximal quotient of | C2×C3×#64729, C2×C3×#64724, C3×C4×D80, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3994);