Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C22×#135×C43 ⋊ C2 |
| Sylow | C43 ⋊ #23438 |
1922 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|d^2=h,e^2=h,f^2=h,g^2=h,b^a=be,c^a=cf,e^a=eh,f^a=fh,g^a=gh,c^b=cg,e^b=eh,g^b=gh,i^b=i^42,e^c=eh,f^c=fh,g^c=gh1228 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 196773);