Extensions 1→N→G→Q→1 with N=C10xF5 and Q=C2

Direct product G=NxQ with N=C10xF5 and Q=C2
dρLabelID
F5xC2xC1080F5xC2xC10400,214

Semidirect products G=N:Q with N=C10xF5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10xF5):1C2 = D5.D20φ: C2/C1C2 ⊆ Out C10xF5408+(C10xF5):1C2400,118
(C10xF5):2C2 = C5xC22:F5φ: C2/C1C2 ⊆ Out C10xF5404(C10xF5):2C2400,141
(C10xF5):3C2 = C2xD5xF5φ: C2/C1C2 ⊆ Out C10xF5408+(C10xF5):3C2400,209

Non-split extensions G=N.Q with N=C10xF5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10xF5).1C2 = D5.Dic10φ: C2/C1C2 ⊆ Out C10xF5808-(C10xF5).1C2400,119
(C10xF5).2C2 = C5xC4:F5φ: C2/C1C2 ⊆ Out C10xF5804(C10xF5).2C2400,138
(C10xF5).3C2 = Dic5xF5φ: C2/C1C2 ⊆ Out C10xF5808-(C10xF5).3C2400,117
(C10xF5).4C2 = C20xF5φ: trivial image804(C10xF5).4C2400,137

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