Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C43 ⋊ #12616 |
420 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=e,b^2=f,c^2=e,d^2=h,e^2=g,g^2=h,b^a=bd,f^a=fh,c^b=cg,e^b=eh,i^b=i^42,f^c=fh1744 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 84683);