Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C43×#2296 ⋊ C2 |
| Sylow | C43 ⋊ #20872 |
1502 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,b^2=g,d^2=h,e^2=h,f^2=h,b^a=be,c^a=cf,e^a=eh,f^a=fh,e^b=eh,f^b=fh,i^b=i^42,e^c=eh,f^c=fh,i^c=i^421252 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 170514);