Finite Group DatabasebetaFinite Group Databasebeta| order | 1134 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C9 · Schur multiplier (H2) = C1 |
| direct product | C2×#10588030 |
| Fitting | C2×C7×C27 ⋊ C3 |
| Hall | C2×C7 ⋊ C27⋊C3 |
| Sylow | C7 ⋊ C2×C27⋊C3 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 378 |
174 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1134, 60);