Extensions 1→N→G→Q→1 with N=C2×F5 and Q=C4

Direct product G=N×Q with N=C2×F5 and Q=C4
dρLabelID
C2×C4×F540C2xC4xF5160,203

Semidirect products G=N:Q with N=C2×F5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×F5)⋊C4 = D10.3Q8φ: C4/C2C2 ⊆ Out C2×F540(C2xF5):C4160,81

Non-split extensions G=N.Q with N=C2×F5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2×F5).C4 = C8⋊F5φ: C4/C2C2 ⊆ Out C2×F5404(C2xF5).C4160,67
(C2×F5).2C4 = C8×F5φ: trivial image404(C2xF5).2C4160,66

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