Finite Group DatabasebetaFinite Group Databasebeta| order | 4736 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C37 ⋊ #1397 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4736 |
Polycyclic presentation:
2^7,37|a^2=c,b^2=d,c^2=e,e^2=f,f^2=g,b^a=bg,h^a=h^31,h^c=h^36368 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 19617);