Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C22×#127×C43 ⋊ C2 |
| Sylow | C43 ⋊ #23906 |
2502 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|f^2=h,b^a=be,c^a=cf,d^a=de,f^a=fh,c^b=cg,f^b=fh,e^c=eh,f^c=fh,i^c=i^42,f^d=fh1222 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 201199);