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Extensions 1→N→G→Q→1 with N=C5 and Q=C22xC4:C4

Direct product G=NxQ with N=C5 and Q=C22xC4:C4
dρLabelID
C4:C4xC2xC10320C4:C4xC2xC10320,1515

Semidirect products G=N:Q with N=C5 and Q=C22xC4:C4
extensionφ:Q→Aut NdρLabelID
C5:(C22xC4:C4) = C22xC4:F5φ: C22xC4:C4/C22xC4 → C4 ⊆ Aut C580C5:(C2^2xC4:C4)320,1591
C5:2(C22xC4:C4) = C2xD5xC4:C4φ: C22xC4:C4/C2xC4:C4 → C2 ⊆ Aut C5160C5:2(C2^2xC4:C4)320,1173
C5:3(C22xC4:C4) = C22xC10.D4φ: C22xC4:C4/C23xC4 → C2 ⊆ Aut C5320C5:3(C2^2xC4:C4)320,1455
C5:4(C22xC4:C4) = C22xC4:Dic5φ: C22xC4:C4/C23xC4 → C2 ⊆ Aut C5320C5:4(C2^2xC4:C4)320,1457


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