Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C43×#1461 ⋊ C2 |
| Sylow | C43 ⋊ #17388 |
976 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,d^2=g,f^2=h,b^a=be,e^a=eg,c^b=ch,f^b=fg,i^b=i^42,d^c=dg,i^c=i^42982 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 135609);