Finite Group DatabasebetaFinite Group Databasebeta| order | 1760 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11724889 |
| Hall | C5×C11 ⋊ C2×C4⋊C4 |
| Sylow | C11 ⋊ C2×#683 |
| Sylow | C5 ⋊ C2×C4⋊Dic11 |
184 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1760 |
212 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1760, 766);