Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×C43×H(3,ℤ/4) ⋊ C2 |
| Sylow | C43 ⋊ #10787 |
1164 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=g,e^2=h,f^2=h,g^2=h,b^a=bd,c^a=ce,d^a=dh,g^a=gh,i^a=i^42,d^b=dh,f^b=fh,i^b=i^42,e^c=eh,f^c=fh,i^c=i^42982 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 75130);