Extensions 1→N→G→Q→1 with N=C5 and Q=M5(2)⋊C2

Direct product G=N×Q with N=C5 and Q=M5(2)⋊C2
dρLabelID
C5×M5(2)⋊C2804C5xM5(2):C2320,166

Semidirect products G=N:Q with N=C5 and Q=M5(2)⋊C2
extensionφ:Q→Aut NdρLabelID
C5⋊(M5(2)⋊C2) = D40.C4φ: M5(2)⋊C2/D8C4 ⊆ Aut C5808+C5:(M5(2):C2)320,244
C52(M5(2)⋊C2) = D40.6C4φ: M5(2)⋊C2/C8.C4C2 ⊆ Aut C5804+C5:2(M5(2):C2)320,53
C53(M5(2)⋊C2) = D40.4C4φ: M5(2)⋊C2/M5(2)C2 ⊆ Aut C5804+C5:3(M5(2):C2)320,74
C54(M5(2)⋊C2) = D8.Dic5φ: M5(2)⋊C2/C2×D8C2 ⊆ Aut C5804C5:4(M5(2):C2)320,121


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