Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×M32×C43 ⋊ C2 |
| Sylow | C43 ⋊ #33484 |
552 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,c^2=f,d^2=e,f^2=g,g^2=h,b^a=be,d^a=dh,i^a=i^42,i^b=i^42,d^c=dh1780 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 323143);