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Extensions 1→N→G→Q→1 with N=C5 and Q=D4:C4

Direct product G=NxQ with N=C5 and Q=D4:C4
dρLabelID
C5xD4:C480C5xD4:C4160,52

Semidirect products G=N:Q with N=C5 and Q=D4:C4
extensionφ:Q→Aut NdρLabelID
C5:(D4:C4) = D20:C4φ: D4:C4/D4 → C4 ⊆ Aut C5408+C5:(D4:C4)160,82
C5:2(D4:C4) = D20:6C4φ: D4:C4/C4:C4 → C2 ⊆ Aut C580C5:2(D4:C4)160,16
C5:3(D4:C4) = D20:5C4φ: D4:C4/C2xC8 → C2 ⊆ Aut C580C5:3(D4:C4)160,28
C5:4(D4:C4) = D4:Dic5φ: D4:C4/C2xD4 → C2 ⊆ Aut C580C5:4(D4:C4)160,39


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