Finite Group DatabasebetaFinite Group Databasebeta| order | 4736 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C37×#478 ⋊ C2 |
| Sylow | C37 ⋊ #3122 |
418 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
Polycyclic presentation:
2^7,37|d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^36,d^b=dg,h^b=h^36,f^c=fg,h^d=h^36374 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 14755);