Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Fitting | Q8×C27⋊C3 ⋊ C3 |
| Sylow | Q8 ⋊ #6903 |
177 conjugacy classes of subgroups.
| transitive degree | μt(G) = 648 |
Polycyclic presentation:
3^5,2^3|c^3=d,d^3=e,f^2=h,g^2=h,b^a=be,f^a=fg,g^a=f,c^b=ce,g^f=gh231 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 1598);