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Groups and FieldsSuperchallengeHomomorphisms and Isomorphisms

Homomorphisms and Isomorphisms · Superchallenge problem

Mod 22, the matrices (1101)\begin{pmatrix}1&1\\0&1\end{pmatrix} and (1011)\begin{pmatrix}1&0\\1&1\end{pmatrix} generate a group of order 66. Which familiar group is it?