Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27×C4 |
No aliases for this group.
| Fitting | C43×#2875 ⋊ C2 |
| Sylow | C43 ⋊ #60625 |
2066 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|b^2=g,c^2=f,f^2=h,g^2=h,b^a=bf,c^a=cg,f^a=fh,g^a=gh,i^a=i^42,c^b=ch,e^d=eh1486 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1038942);