Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C81 · Schur multiplier (H2) = C1 |
| direct product | Dic6×C81 |
| unambiguous semidirect product | C3⋊(Q8×C81) |
| Sylow | C3×C81 ⋊ Q8 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 648 |
729 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 379);