Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C43×#3299 ⋊ C2 |
| Sylow | C43 ⋊ #61168 |
2082 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,c^2=h,g^2=h,b^a=bf,c^a=cg,g^a=gh,d^b=df,e^b=eh,i^b=i^42,g^c=gh,i^c=i^42,i^d=i^42,i^e=i^42793 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1046805);