Finite Group DatabasebetaFinite Group Databasebeta| order | 1760 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q8×C11⋊AGL(1,𝔽5) |
| Fitting | C5×Q8×C11 ⋊ C4 |
| Hall | C5×C11 ⋊ C4×Q8 |
| Sylow | C11 ⋊ Q8×AGL(1,𝔽5) |
| Sylow | C5 ⋊ Q8×Dic11 |
140 conjugacy classes of subgroups.
| transitive degree | μt(G) = 440 |
125 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1760, 1162);