Finite Group DatabasebetaFinite Group Databasebeta| order | 1350 |
| isoclinism | isoclinic class of C52⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C9 · Schur multiplier (H2) = C3×C5 |
| direct product | C2×C9×C52⋊C3 |
| Fitting | C2×C52×C9 ⋊ C3 |
| derived, Sylow | C52 ⋊ C2×C3×C9 |
| Hall | C2×C52 ⋊ C3×C9 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 270 |
198 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1350, 60);