Finite Group DatabasebetaFinite Group Databasebeta| order | 37926 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C49 · Schur multiplier (H2) = C3 |
| direct product | C2×C3×C49×C43⋊C3 |
| Fitting | C2×C3×C43×C49 ⋊ C3 |
| derived, Sylow | C43 ⋊ C2×C32×C49 |
| Hall | C2×C43×C49 ⋊ C32 |
| Hall | C43×C49 ⋊ C2×C32 |
| Hall | C2×C43 ⋊ C32×C49 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12642 |
4998 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37926, 74);