Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C43×#1891 ⋊ C2 |
| Sylow | C43 ⋊ #23883 |
1696 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|c^2=h,e^2=h,f^2=h,b^a=be,c^a=cf,d^a=de,e^a=eh,f^a=fh,g^a=gh,i^a=i^42,c^b=cg,e^b=eh,i^b=i^42,e^c=eh,f^c=fh,i^c=i^42,e^d=eh,f^d=fh,i^d=i^42712 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 200994);