Finite Group DatabasebetaFinite Group Databasebeta| order | 1760 |
| isoclinism | isoclinic class of AGL(1,𝔽11) |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5×C8 · Schur multiplier (H2) = C23 |
| direct product | C22×(C11⋊C5)⋊C8 |
| unambiguous semidirect product | (C22×C11⋊C8)⋊C5 |
| derived, Sylow | C11 ⋊ C22×C5×C8 |
| Hall | C22×C11⋊C8 ⋊ C5 |
| Hall | C11⋊C5 ⋊ C22×C8 |
152 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
176 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1760, 330);