You pick the wrong free group oh noooo, Dini’s into crossfit now!

Sarah isn’t super confident with your choice, but she trusts you for some reason. After you pick that free group and start recreating Dini the 3d printer makes a hamster but then no matter what future decisions you make, the unthinkable happens now Dini is obsessed with group workouts and posting them all on Instagram! You can’t hang out with him without him talking about Olympic lifting technique of how many pull ups he can do. You’ll have to try another free group. What do ya pick?

F2 = {e} U S(a) U S(a^-1) U S(b) U S(b^-1)

F2 = {e} U S(a) U S(a^-1) U S(b) U S(b^-1) U S(d) U S(d^-1) U S(f) U S(f^-1) U S(m) U S(m^-1) U S(t) U S(t^-1)

F2 = {e} U S(a) U S(a^-1) U S(b) U S(b^-1) U S(r) U S(r^-1) U S(e) U S(e^-1) U S(m) U S(m^-1) U S(f) U S(f^-1)

Give up this is too hard!