Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C5 · Schur multiplier (H2) = C210 |
| direct product | C23×C5×D12 |
| Fitting | C23×C3×C4×C5 ⋊ C2 |
| Hall | C3×C5 ⋊ C23×D4 |
| Sylow | C3 ⋊ C23×C5×D4 |
2724 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×#69426, #14280045, C5×#69988, … |
| maximal normal subgroup of | C5×#69426, #14280045, C5×#69988, … |
| maximal quotient of | C23×C5×(C2×D3)⋊C4, C23×C5×C4⋊Dic3, C22×C4×C5×D12, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11310);