Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C8 · Schur multiplier (H2) = C1 |
| unambiguous semidirect product | #6895⋊C8 |
| Sylow | #6895 ⋊ C8 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 216 |
Polycyclic presentation:
2,3,2^2,3^4|a^2=c,b^3=g,c^2=d,f^3=h,e^a=e^2,f^a=f^2h^2,h^a=h^2,f^b=fh^2,f^e=fg156 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 734);