Finite Group DatabasebetaFinite Group Databasebeta| order | 1512 |
| isoclinism | isoclinic class of D3×D9 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C7 · Schur multiplier (H2) = C2 |
| direct product | D3×C7×Dic9 |
| unambiguous semidirect product | (D3×C9)⋊(C4×C7) |
| derived, Sylow | C3×C9 ⋊ C2×C4×C7 |
| Hall | C3×C7×C9 ⋊ C2×C4 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 504 |
252 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1512, 269);