In the current framework, consequence of three dimensional Magnetohydrodynamics bioconvective Casson nanofluid flow by permeable extending surface in the existence of gyrotactic micro-organisms and chemical reaction has been scrutinized. Lie group analysis has been performed along with Runge Kutta Fehlberg algorithm by utilizing shooting technique in MATLAB programming. This model has been solved to calculate the impact of Peclet number , micro-organism concentration difference parameter , Bioconvective Lewis number , Gyrotactic microorganism Biot number , thermal Biot number , Concentration Biot number , Permeability parameter , Chemical reaction parameter , Lewis number , thermophoresis , Brownian motion , Prandtl number , Magnetic parameter and Casson fluid parameter . Flow features are exemplified quantitatively for above mentioned fluid parameters via graphs and tables. Additionally, graphs are plotted for physical quantities of interest for non-Newtonian nanofluid parameters. Motile density declines with augmentation in Bio-convective Lewis number and Bio-convective constant . It is found that, with augmentation in thermal Biot number from , heat transfer rate falls down by whereas mass transfer rate falls down by for higher concentration Biot number from . Moreover, motile concentration de-escalates for higher and . Ultimately, the results show that the output outcomes can be accurately predicted by the applied model.