Extensions 1→N→G→Q→1 with N=Dic5 and Q=C20

Direct product G=NxQ with N=Dic5 and Q=C20
dρLabelID
Dic5xC2080Dic5xC20400,83

Semidirect products G=N:Q with N=Dic5 and Q=C20
extensionφ:Q→Out NdρLabelID
Dic5:1C20 = C5xC10.D4φ: C20/C10C2 ⊆ Out Dic580Dic5:1C20400,84
Dic5:2C20 = C20xF5φ: C20/C10C2 ⊆ Out Dic5804Dic5:2C20400,137
Dic5:3C20 = C5xC4:F5φ: C20/C10C2 ⊆ Out Dic5804Dic5:3C20400,138

Non-split extensions G=N.Q with N=Dic5 and Q=C20
extensionφ:Q→Out NdρLabelID
Dic5.1C20 = C5xC8:D5φ: C20/C10C2 ⊆ Out Dic5802Dic5.1C20400,77
Dic5.2C20 = C10xC5:C8φ: C20/C10C2 ⊆ Out Dic580Dic5.2C20400,139
Dic5.3C20 = C5xC22.F5φ: C20/C10C2 ⊆ Out Dic5404Dic5.3C20400,140
Dic5.4C20 = D5xC40φ: trivial image802Dic5.4C20400,76

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