Extensions 1→N→G→Q→1 with N=C2×A4 and Q=C10

Direct product G=N×Q with N=C2×A4 and Q=C10
dρLabelID
A4×C2×C1060A4xC2xC10240,203

Semidirect products G=N:Q with N=C2×A4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2×A4)⋊C10 = C10×S4φ: C10/C5C2 ⊆ Out C2×A4303(C2xA4):C10240,196

Non-split extensions G=N.Q with N=C2×A4 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2×A4).C10 = C5×A4⋊C4φ: C10/C5C2 ⊆ Out C2×A4603(C2xA4).C10240,104
(C2×A4).2C10 = A4×C20φ: trivial image603(C2xA4).2C10240,152

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