I know that homomorphic image of CLT-group (converse Lagrange's theorem) is not CLT. Is there any reference to know when a homomorphic image of CLT-group is CLT group?
Homomorphic image of a CLT-group
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$\begingroup$
finite-groups
noncommutative-algebra
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0Are you looking for conditions on the homomorphism, or are you looking for references on CLT groups all of whose quotients are also CLT groups? – 2017-02-27
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0Actually I am looking for references on CLT groups all of whose quotients are also CLT groups. Is there any restriction on homomorphism for which image would be CLT? – 2017-02-27