Finite Group DatabasebetaFinite Group Databasebeta| order | 10780 |
| isoclinism | isoclinic class of D11 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C49 · Schur multiplier (H2) = C1 |
| direct product | C5×Dic11×C49 |
| derived, Sylow | C11 ⋊ C4×C5×C49 |
| Hall | C5×C11×C49 ⋊ C4 |
| Hall | C11×C49 ⋊ C4×C5 |
| Hall | C5×C11 ⋊ C4×C49 |
36 conjugacy classes of subgroups.
3430 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×C5×Dic11×C49, C5×C49×Dic33, C5×Dic11×C49⋊C3 |
| maximal normal subgroup of | C3×C5×Dic11×C49, C5×Dic11×C49⋊C3 |
| maximal quotient of | C3×C5×Dic11×C49, C5×C49×Dic33 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10780, 6);