Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C8 |
No aliases for this group.
| Fitting | C43×#1990 ⋊ C2 |
| Sylow | C43 ⋊ #9829 |
610 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=dfg,c^2=eg,d^2=g,e^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eh,i^a=i^42,c^b=cg,i^c=i^42976 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 69362);