Finite Group DatabasebetaFinite Group Databasebeta| order | 37926 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C9 · Schur multiplier (H2) = C1 |
| direct product | C2×C7×#14582150 |
| derived | C7×C43 ⋊ C2×C7×C9 |
| Hall | C2×C72×C43 ⋊ C9 |
| Hall | C72×C43 ⋊ C2×C9 |
| Hall | C2×C72 ⋊ C43⋊C9 |
| Hall | C2×C43 ⋊ C7×C7⋊C9 |
| Sylow | C72 ⋊ C2×C43⋊C9 |
| Sylow | C43 ⋊ C2×C7×C7⋊C9 |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5418 |
4326 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37926, 172);