Finite Group DatabasebetaFinite Group Databasebeta| order | 1998 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C1 |
| direct product | C2×#11758605 |
| Fitting | C2×C9×C37 ⋊ C3 |
| Hall | C2×C37 ⋊ 3−1+2 |
| Sylow | C37 ⋊ C2×3−1+2 |
32 conjugacy classes of subgroups.
| transitive degree | μt(G) = 666 |
238 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1998, 27);