Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C43 ⋊ #23619 |
1102 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=ef,b^2=e,c^2=h,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,i^a=i^42,c^b=cg,d^b=dh,i^b=i^42,d^c=dh,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, 198281);