Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C43×#2879 ⋊ C2 |
| Sylow | C43 ⋊ #23434 |
1916 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|e^2=h,f^2=h,g^2=h,b^a=be,c^a=cf,d^a=dh,e^a=eh,f^a=fh,c^b=cg,e^b=eh,g^b=gh,i^b=i^42,f^c=fh,g^c=gh,i^c=i^42970 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 196748);