Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C2×C43×#342 ⋊ C2 |
| Sylow | C43 ⋊ #10991 |
3122 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,b^a=bd,c^a=ce,d^a=dh,f^a=fh,c^b=cf,e^b=eh,g^b=gh,i^b=i^42,i^c=i^42976 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 76178);