Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28×C4 |
No aliases for this group.
| Fitting | C43×#3500 ⋊ C2 |
| Sylow | C43 ⋊ #60651 |
3138 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=h,b^2=f,c^2=g,f^2=h,b^a=bf,c^a=cg,f^a=fh,i^a=i^42,c^b=ch,i^b=i^42,e^d=eh982 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1039153);