Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C43 ⋊ #7096 |
186 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=d,c^2=fh,d^2=efh,e^2=g,f^2=h,b^a=bc,c^a=ce,e^a=eg,f^a=fg,i^a=i^42,c^b=cf,d^b=defg,e^b=eg,f^b=fh841 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 56299);