Extensions 1→N→G→Q→1 with N=C22xF5 and Q=C2

Direct product G=NxQ with N=C22xF5 and Q=C2
dρLabelID
C23xF540C2^3xF5160,236

Semidirect products G=N:Q with N=C22xF5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xF5):1C2 = D4xF5φ: C2/C1C2 ⊆ Out C22xF5208+(C2^2xF5):1C2160,207
(C22xF5):2C2 = C2xC22:F5φ: C2/C1C2 ⊆ Out C22xF540(C2^2xF5):2C2160,212

Non-split extensions G=N.Q with N=C22xF5 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xF5).1C2 = D10.3Q8φ: C2/C1C2 ⊆ Out C22xF540(C2^2xF5).1C2160,81
(C22xF5).2C2 = C2xC4:F5φ: C2/C1C2 ⊆ Out C22xF540(C2^2xF5).2C2160,204
(C22xF5).3C2 = C2xC4xF5φ: trivial image40(C2^2xF5).3C2160,203

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