Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C43×#2905 ⋊ C2 |
| Sylow | C43 ⋊ #60140 |
2722 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,c^2=g,g^2=h,b^a=bf,e^a=eh,d^b=dh,i^b=i^42,i^c=i^421012 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1033487);