Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | #6861 ⋊ C8 |
75 conjugacy classes of subgroups.
| minimal degree | μ(G) = 62 |
| transitive degree | μt(G) = 216 |
Polycyclic presentation:
2,3,2^2,3^4|a^2=c,b^3=g^2,c^2=d,e^3=h,e^a=e^2h^2,f^a=f^2g,h^a=h^2,e^b=ef,f^b=fh^2,f^e=fg124 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 20);