Finite Group DatabasebetaFinite Group Databasebeta| order | 4736 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C37×#417 ⋊ C2 |
| Sylow | C37 ⋊ #2897 |
778 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
Polycyclic presentation:
2^7,37|a^2=f,e^2=g,b^a=be,e^a=eg,e^b=eg,h^b=h^36,d^c=dg,h^d=h^36440 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 13034);