Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C5 · Schur multiplier (H2) = C29 |
| direct product | C22×C5×#235 |
| Fitting | C23×C3×C4×C5 ⋊ C2 |
| Hall | C3×C5 ⋊ C22×#41 |
| Sylow | C3 ⋊ C22×C5×#41 |
1780 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×#69956, #14296821, C5×#69537, … |
| maximal normal subgroup of | C5×#69956, #14296821, C5×#69537, … |
| maximal quotient of | C22×C5×#872, C22×C5×#926, C22×C4×C5×#67, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11311);