Finite Group DatabasebetaFinite Group Databasebeta| order | 37504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#34037139 |
| unambiguous semidirect product | D293⋊#427 |
| Fitting | C22×C8×C293 ⋊ C4 |
| Sylow | C293 ⋊ C2×#427 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
2392 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37504, 21161);