Extensions 1→N→G→Q→1 with N=C5 and Q=C2xD4:C4

Direct product G=NxQ with N=C5 and Q=C2xD4:C4
dρLabelID
C10xD4:C4160C10xD4:C4320,915

Semidirect products G=N:Q with N=C5 and Q=C2xD4:C4
extensionφ:Q→Aut NdρLabelID
C5:(C2xD4:C4) = C2xD20:C4φ: C2xD4:C4/C2xD4C4 ⊆ Aut C580C5:(C2xD4:C4)320,1104
C5:2(C2xD4:C4) = D5xD4:C4φ: C2xD4:C4/D4:C4C2 ⊆ Aut C580C5:2(C2xD4:C4)320,396
C5:3(C2xD4:C4) = C2xD20:6C4φ: C2xD4:C4/C2xC4:C4C2 ⊆ Aut C5160C5:3(C2xD4:C4)320,592
C5:4(C2xD4:C4) = C2xD20:5C4φ: C2xD4:C4/C22xC8C2 ⊆ Aut C5160C5:4(C2xD4:C4)320,739
C5:5(C2xD4:C4) = C2xD4:Dic5φ: C2xD4:C4/C22xD4C2 ⊆ Aut C5160C5:5(C2xD4:C4)320,841


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