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Extensions 1→N→G→Q→1 with N=C5 and Q=M4(2):C4

Direct product G=NxQ with N=C5 and Q=M4(2):C4
dρLabelID
C5xM4(2):C4160C5xM4(2):C4320,929

Semidirect products G=N:Q with N=C5 and Q=M4(2):C4
extensionφ:Q→Aut NdρLabelID
C5:(M4(2):C4) = M4(2):1F5φ: M4(2):C4/M4(2) → C4 ⊆ Aut C5408C5:(M4(2):C4)320,1065
C5:2(M4(2):C4) = C8:(C4xD5)φ: M4(2):C4/C4.Q8 → C2 ⊆ Aut C5160C5:2(M4(2):C4)320,488
C5:3(M4(2):C4) = C40:20(C2xC4)φ: M4(2):C4/C2.D8 → C2 ⊆ Aut C5160C5:3(M4(2):C4)320,508
C5:4(M4(2):C4) = C20.47(C4:C4)φ: M4(2):C4/C2xC4:C4 → C2 ⊆ Aut C5160C5:4(M4(2):C4)320,591
C5:5(M4(2):C4) = C20.64(C4:C4)φ: M4(2):C4/C42:C2 → C2 ⊆ Aut C5160C5:5(M4(2):C4)320,622
C5:6(M4(2):C4) = C23.47D20φ: M4(2):C4/C2xM4(2) → C2 ⊆ Aut C5160C5:6(M4(2):C4)320,748


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