Finite Group DatabasebetaFinite Group Databasebeta| order | 1998 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C32 |
| direct product | C2×C32⋊(C37⋊C3) |
| unambiguous semidirect product | (C2×C32)⋊(C37⋊C3) |
| unambiguous semidirect product | (C2×C37)⋊H(3,𝔽3) |
| unambiguous semidirect product | (C2×C3×C37⋊C3)⋊C3 |
| Fitting | C2×C32×C37 ⋊ C3 |
| Hall | C2×C37 ⋊ H(3,𝔽3) |
| Sylow | C37 ⋊ C2×H(3,𝔽3) |
44 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, 30);