Finite Group DatabasebetaFinite Group Databasebeta| order | 1760 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C5 · Schur multiplier (H2) = C22 |
| direct product | C2×#4326⋊C5 |
| unambiguous semidirect product | (C2×#4326)⋊C5 |
| Hall | C2×#4326 ⋊ C5 |
| Hall | C11⋊C5 ⋊ C2×Q16 |
| Sylow | C11 ⋊ C2×C5×Q16 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
80 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1760, 355);