Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C26 |
| unambiguous semidirect product | (C2×D43)⋊#338 |
| Fitting | C2×C43×#338 ⋊ C2 |
| Sylow | C43 ⋊ C22⋊#338 |
1294 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=g,d^2=h,f^2=h,g^2=h,b^a=bd,c^a=ce,g^a=gh,f^b=fh,i^c=i^42988 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 74805);