Finite Group DatabasebetaFinite Group Databasebeta| order | 10062 |
| isoclinism | isoclinic class of D43 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C13 · Schur multiplier (H2) = C1 |
| direct product | C9×C13×D43 |
| Fitting, Hall | C9×C13×C43 ⋊ C2 |
| derived, Sylow | C43 ⋊ C2×C9×C13 |
| Hall | C13×C43 ⋊ C2×C9 |
| Hall | C9×C43 ⋊ C2×C13 |
24 conjugacy classes of subgroups.
2691 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C9×D13×D43, C13×D9×D43, D43×D117, … |
| maximal normal subgroup of | C9×D13×D43, C13×D9×D43, D43×D117, … |
| maximal quotient of | C9×C13×Dic43, C2×C9×C13×D43 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10062, 6);