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Extensions 1→N→G→Q→1 with N=C5 and Q=D8:C4

Direct product G=NxQ with N=C5 and Q=D8:C4
dρLabelID
C5xD8:C4160C5xD8:C4320,943

Semidirect products G=N:Q with N=C5 and Q=D8:C4
extensionφ:Q→Aut NdρLabelID
C5:(D8:C4) = D40:C4φ: D8:C4/D8 → C4 ⊆ Aut C5408+C5:(D8:C4)320,1069
C5:2(D8:C4) = D40:9C4φ: D8:C4/C8:C4 → C2 ⊆ Aut C5160C5:2(D8:C4)320,338
C5:3(D8:C4) = D4:D5:6C4φ: D8:C4/D4:C4 → C2 ⊆ Aut C5160C5:3(D8:C4)320,412
C5:4(D8:C4) = D40:15C4φ: D8:C4/C4.Q8 → C2 ⊆ Aut C5160C5:4(D8:C4)320,496
C5:5(D8:C4) = C42.48D10φ: D8:C4/C4xD4 → C2 ⊆ Aut C5160C5:5(D8:C4)320,641
C5:6(D8:C4) = D8:Dic5φ: D8:C4/C2xD8 → C2 ⊆ Aut C5160C5:6(D8:C4)320,779


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