Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C43 ⋊ #9166 |
436 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=dfg,c^2=g,d^2=gh,e^2=g,f^2=g,b^a=bd,c^a=ce,d^a=dg,d^b=dh,e^b=eg,f^b=fh,i^b=i^42,d^c=dg,e^c=eg,f^c=fg967 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 65410);