Finite Group DatabasebetaFinite Group Databasebeta| order | 1760 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C8 · Schur multiplier (H2) = C2 |
| direct product | C4⋊C8×C11⋊C5 |
| unambiguous semidirect product | C4⋊(C8×C11⋊C5) |
| unambiguous semidirect product | (C11×C4⋊C8)⋊C5 |
| Fitting, Hall | C11×C4⋊C8 ⋊ C5 |
| Sylow | C11 ⋊ C5×C4⋊C8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
140 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1760, 58);