Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C43 ⋊ #10651 |
350 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=e,b^2=d,c^2=dh,e^2=g,f^2=h,b^a=bd,c^a=ce,i^a=i^42,c^b=cf,f^b=fh,i^b=i^42,e^c=eg,f^c=fh844 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 74488);