Finite Group DatabasebetaFinite Group Databasebeta| order | 1512 |
| isoclinism | isoclinic class of C3⋊D63 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C3 |
| direct product | C4×C3⋊D63 |
| Fitting | C3×C4×C7×C9 ⋊ C2 |
| derived, Hall | C3×C7×C9 ⋊ C2×C4 |
| Sylow | C3×C9 ⋊ C4×D7 |
| Sylow | C7 ⋊ C4×C3⋊D9 |
160 conjugacy classes of subgroups.
| transitive degree | μt(G) = 756 |
384 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1512, 405);