e Identity
r Rotate 120°
r² Rotate 240°
f₁ Flip thru P1
f₂ Flip thru P2
f₃ Flip thru P3
Composition Calculator
First action (applied second — outermost):
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∘
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=
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Second action (applied first — innermost):
Pick both to see the result
P1 P2 P3 ? ? ?
∘ Cayley Table
Discovered: 0 / 36
🔍 What to Look For

Start by filling in the first row and first column. What do you notice? (Hint: think about the identity element!)