Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Sylow | C43 ⋊ #20444 |
1018 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=g,c^2=ef,e^2=h,b^a=be,d^a=dh,i^a=i^42,e^b=eh,f^b=fh1768 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 167588);