# Modular maximal-cyclic groups M_{n}(2)

*A modular maximal-cyclic group* group M_{n}(2)
is a semidirect product C_{2n-1}⋊C_{2},
as is the dihedral group, except that C_{2} acts on
C_{2n-1} as x↦x^{2n-2+1}
instead of x↦x^{-1}.
See Extensions - example.

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