Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of C3⋊D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C27 · Schur multiplier (H2) = C23×C3 |
| direct product | C22×C3⋊D3×C27 |
| Fitting | C22×C32×C27 ⋊ C2 |
| derived | C32 ⋊ C23×C27 |
| Sylow | C32×C27 ⋊ C23 |
504 conjugacy classes of subgroups.
| transitive degree | μt(G) = 648 |
648 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 2917);