Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C43×#2117 ⋊ C2 |
| Sylow | C43 ⋊ #33340 |
1114 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,e^2=h,f^2=g,g^2=h,b^a=be,i^a=i^42,e^b=eh,f^b=fh,d^c=dh,i^d=i^421012 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 322275);