Finite Group DatabasebetaFinite Group Databasebeta| order | 4736 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | #120×C37 ⋊ C4 |
| Sylow | C37 ⋊ #2321 |
808 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
Polycyclic presentation:
2^7,37|a^2=g,b^2=g,b^a=be,c^a=cf,d^a=de,h^a=h^6,c^b=ce,h^b=h^31,h^g=h^36170 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4736, 20995);