Extensions 1→N→G→Q→1 with N=C5 and Q=C4xD8

Direct product G=NxQ with N=C5 and Q=C4xD8
dρLabelID
D8xC20160D8xC20320,938

Semidirect products G=N:Q with N=C5 and Q=C4xD8
extensionφ:Q→Aut NdρLabelID
C5:(C4xD8) = D8xF5φ: C4xD8/D8C4 ⊆ Aut C5408+C5:(C4xD8)320,1068
C5:2(C4xD8) = C4xD40φ: C4xD8/C4xC8C2 ⊆ Aut C5160C5:2(C4xD8)320,319
C5:3(C4xD8) = Dic5:4D8φ: C4xD8/D4:C4C2 ⊆ Aut C5160C5:3(C4xD8)320,383
C5:4(C4xD8) = D40:12C4φ: C4xD8/C2.D8C2 ⊆ Aut C5160C5:4(C4xD8)320,499
C5:5(C4xD8) = C4xD4:D5φ: C4xD8/C4xD4C2 ⊆ Aut C5160C5:5(C4xD8)320,640
C5:6(C4xD8) = D8xDic5φ: C4xD8/C2xD8C2 ⊆ Aut C5160C5:6(C4xD8)320,776


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