Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic30 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×C4×D60 |
| Fitting | C2×C3×C42×C5 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×C4×D4 |
| Sylow | C5 ⋊ C2×C4×D12 |
| Sylow | C3 ⋊ C2×C4×D20 |
852 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14280895, #14280912, #14281113, … |
| maximal normal subgroup of | #14280895, #14280912, #14281113, … |
| maximal quotient of | C2×C4×#6714, C2×C4×C4⋊Dic15, C42×D60, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10427);