Finite Group DatabasebetaFinite Group Databasebeta| order | 1760 |
| isoclinism | isoclinic class of Dic22 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C25 |
| direct product | C22×C5×Dic22 |
| Hall | C5×C11 ⋊ C22×Q8 |
| Sylow | C11 ⋊ C22×C5×Q8 |
312 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1760 |
500 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1760, 1219);