Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4 |
No aliases for this group.
| Fitting | C43×#2313 ⋊ C2 |
| Sylow | C43 ⋊ #34178 |
2806 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=h,b^2=g,d^2=f,b^a=bf,c^a=cg,e^a=ef,d^b=df,i^c=i^42,i^d=i^421012 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 329626);