Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C8×#41×C43 ⋊ C2 |
| Sylow | C43 ⋊ #60345 |
1744 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=g,b^2=f,c^2=f,e^2=g,g^2=h,b^a=bf,d^a=df,c^b=cfh,d^b=dh,e^b=eh,i^b=i^421768 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1035834);