While Generalized Feistel Networks (GFNs) have been widely studied in the literature as a building block of a block cipher, we recall in this paper the results of <xref ref-type="bibr" rid="ref1">[1]</xref> where a unified vision to easily represent them through a matrix representation is proposed. We also introduce a new class of such schemes called Extended Generalized Feistel Networks well suited for cryptographic applications. We instantiate this particular construction into a lightweight block cipher called <sc>Lilliput</sc> analyzing its security and its hardware performances.