Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C4×#97×C43 ⋊ C2 |
| Sylow | C43 ⋊ #20512 |
1014 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,43|a^2=f,b^2=g,c^2=g,d^2=f,e^2=h,f^2=h,b^a=be,e^a=eh,i^a=i^42,e^b=eh,i^b=i^42,d^c=dh1768 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 168154);