Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Fitting | C43×#1757 ⋊ C2 |
| Sylow | C43 ⋊ #20401 |
1444 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=g,c^2=f,f^2=h,b^a=be,g^a=gh,e^b=eh,d^c=dh,i^d=i^421006 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 167270);