Extensions 1→N→G→Q→1 with N=C5 and Q=D4:2D5

Direct product G=NxQ with N=C5 and Q=D4:2D5
dρLabelID
C5xD4:2D5404C5xD4:2D5400,186

Semidirect products G=N:Q with N=C5 and Q=D4:2D5
extensionφ:Q→Aut NdρLabelID
C5:1(D4:2D5) = D20:D5φ: D4:2D5/Dic10C2 ⊆ Aut C5404C5:1(D4:2D5)400,165
C5:2(D4:2D5) = D20:5D5φ: D4:2D5/C4xD5C2 ⊆ Aut C5804-C5:2(D4:2D5)400,164
C5:3(D4:2D5) = Dic5.D10φ: D4:2D5/C2xDic5C2 ⊆ Aut C5404C5:3(D4:2D5)400,173
C5:4(D4:2D5) = D10.4D10φ: D4:2D5/C5:D4C2 ⊆ Aut C5404-C5:4(D4:2D5)400,174
C5:5(D4:2D5) = C20.D10φ: D4:2D5/C5xD4C2 ⊆ Aut C5200C5:5(D4:2D5)400,196

Non-split extensions G=N.Q with N=C5 and Q=D4:2D5
extensionφ:Q→Aut NdρLabelID
C5.(D4:2D5) = D4:2D25φ: D4:2D5/C5xD4C2 ⊆ Aut C52004-C5.(D4:2D5)400,40

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