Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C43×#2315 ⋊ C2 |
| Sylow | C43 ⋊ #11069 |
2538 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,b^2=d,b^a=bd,c^a=ce,f^a=fh,c^b=cf,e^b=eh,i^c=i^42976 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 76643);