Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C43×#2117 ⋊ C2 |
| Sylow | C43 ⋊ #12982 |
474 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=df,d^2=h,f^2=g,g^2=h,b^a=bd,c^a=ce,e^a=eh,d^b=dh,e^b=eh,f^b=fh,d^c=dh,f^c=fh,i^c=i^42988 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 86454);