Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C22×C3×C27 ⋊ D3 |
95 conjugacy classes of subgroups.
| minimal degree | μ(G) = 85 |
| transitive degree | μt(G) = 162 |
Polycyclic presentation:
2,3^5,2^2|b^3=c,c^3=f,d^a=d^2,e^a=e^2f,g^a=gh,d^b=de^2,e^d=ef,g^d=h,h^d=gh147 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 833);