Finite Group DatabasebetaFinite Group Databasebeta| order | 15950 |
| isoclinism | isoclinic class of D11 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C25×C29 · Schur multiplier (H2) = C1 |
| direct product | D11×C25×C29 |
| Fitting, Hall | C11×C25×C29 ⋊ C2 |
| derived, Sylow | C11 ⋊ C2×C25×C29 |
| Hall | C11×C29 ⋊ C2×C25 |
| Hall | C11×C25 ⋊ C2×C29 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7975 |
5075 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D11×C25×D29, D11×C29×D25, D11×D725, … |
| maximal normal subgroup of | D11×C25×D29, D11×C29×D25, D11×D725, … |
| maximal quotient of | C25×C29×Dic11, C2×D11×C25×C29 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15950, 4);