Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C43×#1468 ⋊ C2 |
| Sylow | C43 ⋊ #17392 |
1450 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,f^2=h,b^a=be,d^a=dh,e^a=eg,c^b=ch,f^b=fg,i^d=i^42724 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 135633);