Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C43×#1565 ⋊ C2 |
| Sylow | C43 ⋊ #19167 |
674 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,b^2=eh,e^2=g,f^2=h,b^a=be,c^a=cf,e^a=eg,f^a=fh,i^a=i^42,d^b=dg,f^c=fh,i^c=i^42967 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 152392);