Finite Group DatabasebetaFinite Group Databasebeta| order | 1760 |
| isoclinism | isoclinic class of #686 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C11 · Schur multiplier (H2) = C22 |
| direct product | C2×C11×#689 |
| Hall | C5×C11 ⋊ C2×Q16 |
| Sylow | C5 ⋊ C2×C11×Q16 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1760 |
374 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1760, 967);