Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C43 ⋊ #12681 |
1038 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,f^2=g,g^2=h,b^a=bd,c^a=ce,d^a=dh,i^a=i^42,f^b=fh1744 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 85007);