Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C43 · Schur multiplier (H2) = C22×C43 |
No aliases for this group.
| Fitting | C43×#1726 ⋊ C2 |
| Sylow | C43 ⋊ #20331 |
1470 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=e,b^2=f,c^2=g,e^2=h,c^a=ch,d^b=dh,i^c=i^42,i^d=i^421816 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 166913);