Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C43 ⋊ #12806 |
420 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=d,d^2=h,b^a=bd,c^a=ce,d^a=dh,e^a=eg,g^a=gh,i^a=i^42,c^b=ch,f^c=fg,f^e=fh958 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 85588);