Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C43×#1913 ⋊ C2 |
| Sylow | C43 ⋊ #12768 |
778 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eh,g^a=gh,e^b=egh,f^b=fg,i^b=i^42,d^c=dg,f^c=fh,e^d=eh,f^d=fh643 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 85416);