Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C43 ⋊ #13539 |
278 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=dh,b^2=de,c^2=d,f^2=gh,g^2=h,b^a=bd,c^a=ce,c^b=cf,f^b=fg,g^b=gh,i^b=i^42,f^c=fg,g^c=gh,i^c=i^421732 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 89697);