Extensions 1→N→G→Q→1 with N=C5 and Q=C42:4C4

Direct product G=NxQ with N=C5 and Q=C42:4C4
dρLabelID
C5xC42:4C4320C5xC4^2:4C4320,877

Semidirect products G=N:Q with N=C5 and Q=C42:4C4
extensionφ:Q→Aut NdρLabelID
C5:(C42:4C4) = C42:4F5φ: C42:4C4/C42C4 ⊆ Aut C580C5:(C4^2:4C4)320,1024
C5:2(C42:4C4) = Dic5.15C42φ: C42:4C4/C2.C42C2 ⊆ Aut C5320C5:2(C4^2:4C4)320,275
C5:3(C42:4C4) = C42:4Dic5φ: C42:4C4/C2xC42C2 ⊆ Aut C5320C5:3(C4^2:4C4)320,559


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