Can act either as a transcriptional repressor or as a transcriptional activator, depending on the cell context. Acts as a repressor of the Hedgehog signaling pathway (By similarity). Represses the Hedgehog-dependent expression of Wnt4 (By similarity). Necessary to maintain the differentiated epithelial phenotype in renal cells through the inhibition of SNAI1, which itself induces the epithelial-to-mesenchymal transition (By similarity). Represses transcriptional activation mediated by CTNNB1 in the Wnt signaling pathway. May act by recruiting the corepressors CTBP1 and HDAC3. May be involved in neuron differentiation (By similarity). Interacts with CTBP1 and HDAC3 (By similarity). Interacts with CTNNB1 (By similarity). Interacts with SUFU (By similarity). Interacts with CTNND1. Expressed at high levels in kidney and at low levels in heart, lung and placenta. Expressed in colon. The C2H2-type zinc finger 1 has a major repressor function and is required for CTNNB1 binding. C-terminus cleavage is induced by interaction with CTNND1 and enhanced by Src tyrosine kinase. The disease is caused by variants affecting the gene represented in this entry. Belongs to the GLI C2H2-type zinc-finger protein family.