We present the construction of the rc">rmulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269315006735&_mathId=si1.gif&_user=111111111&_pii=S0370269315006735&_rdoc=1&_issn=03702693&md5=7cfe7c66f6dc22a1021ccad5540a4d39" title="Click to view the MathML source">D=3r hidden"> Chern–Simons supergravity action without cosmological constant from the minimal Maxwell superalgebra rc">rmulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269315006735&_mathId=si2.gif&_user=111111111&_pii=S0370269315006735&_rdoc=1&_issn=03702693&md5=f877ca72a7b37b4163785f81e8784e8e" title="Click to view the MathML source">sM3r hidden">. This superalgebra contains two Majorana fermionic charges and can be obtained from the rc">rmulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269315006735&_mathId=si107.gif&_user=111111111&_pii=S0370269315006735&_rdoc=1&_issn=03702693&md5=a438ecb2982b3cf44e31ffe2d2f91703" title="Click to view the MathML source">osp(2|1)⊗sp(2)r hidden"> superalgebra using the abelian semigroup expansion procedure. The components of the Maxwell invariant tensor are explicitly derived.