Finite Group DatabasebetaFinite Group Databasebeta| order | 37926 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C43 · Schur multiplier (H2) = C1 |
| direct product | D7×C43×C7⋊C9 |
| derived, Sylow | C72 ⋊ C2×C9×C43 |
| Hall | C7×C43×C7⋊C9 ⋊ C2 |
| Hall | C7×D7×C43 ⋊ C9 |
| Hall | C72×C43 ⋊ C2×C9 |
| Hall | C7×C7⋊C9 ⋊ C2×C43 |
| Hall | C7×D7 ⋊ C9×C43 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5418 |
3225 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37926, 159);