Finite Group DatabasebetaFinite Group Databasebeta| order | 31218 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C121 · Schur multiplier (H2) = C1 |
| direct product | C2×C121×C43⋊C3 |
| unambiguous semidirect product | (C2×C43)⋊(C3×C121) |
| unambiguous semidirect product | (C2×C43×C121)⋊C3 |
| Fitting, Hall | C2×C43×C121 ⋊ C3 |
| derived, Sylow | C43 ⋊ C2×C3×C121 |
| Hall | C43×C121 ⋊ C2×C3 |
| Hall | C2×C43 ⋊ C3×C121 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10406 |
4114 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31218, 2);