Extensions 1→N→G→Q→1 with N=C5 and Q=C5xC4oD4

Direct product G=NxQ with N=C5 and Q=C5xC4oD4
dρLabelID
C4oD4xC52200C4oD4xC5^2400,204

Semidirect products G=N:Q with N=C5 and Q=C5xC4oD4
extensionφ:Q→Aut NdρLabelID
C5:1(C5xC4oD4) = C5xC4oD20φ: C5xC4oD4/C2xC20C2 ⊆ Aut C5402C5:1(C5xC4oD4)400,184
C5:2(C5xC4oD4) = C5xD4:2D5φ: C5xC4oD4/C5xD4C2 ⊆ Aut C5404C5:2(C5xC4oD4)400,186
C5:3(C5xC4oD4) = C5xQ8:2D5φ: C5xC4oD4/C5xQ8C2 ⊆ Aut C5804C5:3(C5xC4oD4)400,188

Non-split extensions G=N.Q with N=C5 and Q=C5xC4oD4
extensionφ:Q→Aut NdρLabelID
C5.(C5xC4oD4) = C4oD4xC25central extension (φ=1)2002C5.(C5xC4oD4)400,48

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