Finite Group DatabasebetaFinite Group Databasebeta| order | 1134 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C32 |
| direct product | C2×#10588038 |
| Fitting | C2×C3×C7×C9 ⋊ C3 |
| Hall | C2×C7 ⋊ #732 |
| Sylow | C7 ⋊ C2×#732 |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 378 |
142 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1134, 68);