Extensions 1→N→G→Q→1 with N=C2xF5 and Q=C10

Direct product G=NxQ with N=C2xF5 and Q=C10
dρLabelID
F5xC2xC1080F5xC2xC10400,214

Semidirect products G=N:Q with N=C2xF5 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2xF5):C10 = C5xC22:F5φ: C10/C5C2 ⊆ Out C2xF5404(C2xF5):C10400,141

Non-split extensions G=N.Q with N=C2xF5 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2xF5).C10 = C5xC4:F5φ: C10/C5C2 ⊆ Out C2xF5804(C2xF5).C10400,138
(C2xF5).2C10 = C20xF5φ: trivial image804(C2xF5).2C10400,137

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