Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C8 · Schur multiplier (H2) = C1 |
| unambiguous semidirect product | C3⋊#10619833 |
| Sylow | C3×#737 ⋊ C8 |
201 conjugacy classes of subgroups; only the 26 normal subgroups are shown.
This group has 201 conjugacy classes of subgroups — too many to draw. Only its 26 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 216 |
Polycyclic presentation:
2,3,2^2,3^4|a^2=c,b^3=h^2,c^2=d,e^a=ef,f^a=ef^2h^2,g^a=g^2,e^c=e^2,f^c=f^2h,f^e=fh144 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2989);