Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C43×#1938 ⋊ C2 |
| Sylow | C43 ⋊ #22586 |
894 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,b^2=f,e^2=h,g^2=h,b^a=be,c^a=cf,e^a=eh,d^b=de,e^b=eh,i^b=i^42,i^c=i^42,e^d=eh,i^d=i^42730 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 186916);