Finite Group DatabasebetaFinite Group Databasebeta| order | 37504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D4×#17989812 |
| Sylow | C293 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
1510 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37504, 21247);