Finite Group DatabasebetaFinite Group Databasebeta| order | 1960 |
| isoclinism | isoclinic class of D7 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C5×C7 · Schur multiplier (H2) = C2 |
| direct product | C4×C5×C7×D7 |
| Fitting | C4×C5×C72 ⋊ C2 |
| derived | C7 ⋊ C2×C4×C5×C7 |
| Hall | C5×C72 ⋊ C2×C4 |
| Sylow | C72 ⋊ C2×C4×C5 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 280 |
700 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1960, 85);