Extensions 1→N→G→Q→1 with N=C5 and Q=C42:8C4

Direct product G=NxQ with N=C5 and Q=C42:8C4
dρLabelID
C5xC42:8C4320C5xC4^2:8C4320,883

Semidirect products G=N:Q with N=C5 and Q=C42:8C4
extensionφ:Q→Aut NdρLabelID
C5:(C42:8C4) = C42:9F5φ: C42:8C4/C42C4 ⊆ Aut C580C5:(C4^2:8C4)320,1027
C5:2(C42:8C4) = C5:2(C42:8C4)φ: C42:8C4/C2.C42C2 ⊆ Aut C5320C5:2(C4^2:8C4)320,277
C5:3(C42:8C4) = C42:9Dic5φ: C42:8C4/C2xC42C2 ⊆ Aut C5320C5:3(C4^2:8C4)320,563
C5:4(C42:8C4) = C20.48(C4:C4)φ: C42:8C4/C2xC4:C4C2 ⊆ Aut C5320C5:4(C4^2:8C4)320,604


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