Finite Group DatabasebetaFinite Group Databasebeta| order | 1760 |
| isoclinism | isoclinic class of D5 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42×C11 · Schur multiplier (H2) = C22×C4 |
| direct product | C42×D5×C11 |
| Fitting | C42×C5×C11 ⋊ C2 |
| derived, Sylow | C5 ⋊ C2×C42×C11 |
| Hall | C5×C11 ⋊ C2×C42 |
216 conjugacy classes of subgroups.
| transitive degree | μt(G) = 880 |
704 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1760, 893);