Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C8×C9 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | #6873 ⋊ C8 |
74 conjugacy classes of subgroups.
| minimal degree | μ(G) = 89 |
| transitive degree | μt(G) = 648 |
Polycyclic presentation:
2,3,2,3,2,3^3|a^2=c,b^3=d,c^2=e,d^3=h^2,f^a=f^2,g^a=g^2h,f^b=fg,g^f=gh264 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 37);