Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C43×Q8⋊C16 ⋊ C2 |
| Sylow | C43 ⋊ #11637 |
342 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=e,b^2=f,c^2=f,d^2=f,e^2=g,g^2=h,b^a=bd,d^a=df,c^b=cf,d^b=df,i^c=i^421264 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 79509);