Finite Group DatabasebetaFinite Group Databasebeta| order | 1296 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4×C9 · Schur multiplier (H2) = C23×C3 |
| direct product | C2×C3×C4×D3×C9 |
| Fitting | C2×C32×C4×C9 ⋊ C2 |
| derived | C3 ⋊ C22×C3×C4×C9 |
| Sylow | C32×C9 ⋊ C22×C4 |
660 conjugacy classes of subgroups.
| transitive degree | μt(G) = 432 |
648 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1296, 2544);