Finite Group DatabasebetaFinite Group Databasebeta| order | 1760 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C11 · Schur multiplier (H2) = C26 |
| direct product | C22×C11×D20 |
| Fitting | C22×C4×C5×C11 ⋊ C2 |
| Hall | C5×C11 ⋊ C22×D4 |
| Sylow | C5 ⋊ C22×D4×C11 |
472 conjugacy classes of subgroups.
| transitive degree | μt(G) = 880 |
572 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1760, 1236);