Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of #4177 |
| automorphism | ? |
| homology | Abelianization (H1) = C8×C9 · Schur multiplier (H2) = C3 |
No aliases for this group.
| derived | C3×C9 ⋊ C8×C9 |
| Sylow | #6867 ⋊ C8 |
94 conjugacy classes of subgroups.
| minimal degree | μ(G) = 44 |
| transitive degree | μt(G) = 216 |
Polycyclic presentation:
2,3,2,3,2,3^3|a^2=c,b^3=d,c^2=e,f^3=h,f^a=f^2h^2,g^a=g^2,h^a=h^2,f^b=fg,g^b=gh156 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 29);