Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Sylow | C32×C27 ⋊ Q8 |
432 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1944 |
Polycyclic presentation:
2^3,3^5|a^2=c,b^2=c,f^3=g,g^3=h,b^a=bc,d^a=d^2,e^a=e^2,f^a=f^2g^2h^2,g^a=g^2h^2,h^a=h^2489 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2125);