Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C43×#2094 ⋊ C2 |
| Sylow | C43 ⋊ #26191 |
766 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|b^2=f,c^2=f,d^2=h,e^2=h,g^2=h,b^a=be,c^a=cf,d^a=de,e^a=eh,i^a=i^42,c^b=cg,e^b=eh,g^b=gh,g^c=gh,i^c=i^42,e^d=eh,i^d=i^42715 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 230043);