Finite Group DatabasebetaFinite Group Databasebeta| order | 37926 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C43 · Schur multiplier (H2) = C1 |
| direct product | C43×(C7⋊C9)⋊D7 |
| unambiguous semidirect product | (C7⋊C9)⋊(D7×C43) |
| derived, Sylow | C72 ⋊ C2×C9×C43 |
| Hall | C7×C43×C7⋊C9 ⋊ C2 |
| Hall | C43×C7⋊D7 ⋊ C9 |
| Hall | C72×C43 ⋊ C2×C9 |
| Hall | C7×C7⋊C9 ⋊ C2×C43 |
| Hall | C7⋊D7 ⋊ C9×C43 |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2709 |
2838 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37926, 148);