Finite Group DatabasebetaFinite Group Databasebeta| order | 1512 |
| isoclinism | isoclinic class of D9 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4×C7 · Schur multiplier (H2) = C2 |
| direct product | C3×C4×C7×D9 |
| Fitting | C3×C4×C7×C9 ⋊ C2 |
| derived | C9 ⋊ C2×C3×C4×C7 |
| Hall | C3×C7×C9 ⋊ C2×C4 |
| Sylow | C3×C9 ⋊ C2×C4×C7 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 504 |
504 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1512, 356);