Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C43×#1445 ⋊ C2 |
| Sylow | C43 ⋊ #9045 |
678 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=dfgh,d^2=g,e^2=g,f^2=g,b^a=bd,c^a=ce,e^a=egh,i^a=i^42,d^b=dg,e^b=eh,f^b=fg,i^b=i^42,d^c=dh,e^c=eg,f^c=fh,i^c=i^42970 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 64736);