Finite Group DatabasebetaFinite Group Databasebeta| order | 16182 |
| isoclinism | isoclinic class of D31 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C29 · Schur multiplier (H2) = C1 |
| direct product | C9×C29×D31 |
| Fitting, Hall | C9×C29×C31 ⋊ C2 |
| derived, Sylow | C31 ⋊ C2×C9×C29 |
| Hall | C29×C31 ⋊ C2×C9 |
| Hall | C9×C31 ⋊ C2×C29 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8091 |
4437 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C9×D29×D31, D9×C29×D31, D31×D261, … |
| maximal normal subgroup of | C9×D29×D31, D9×C29×D31, D31×D261, … |
| maximal quotient of | C9×C29×Dic31, C2×C9×C29×D31 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16182, 3);