Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C43×C22⋊C16 ⋊ C2 |
| Sylow | C43 ⋊ #12683 |
936 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,d^2=h,f^2=g,g^2=h,b^a=bd,c^a=ce,d^b=dh,f^b=fh,i^b=i^421756 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 85012);