Extensions 1→N→G→Q→1 with N=C2xA4 and Q=C12

Direct product G=NxQ with N=C2xA4 and Q=C12
dρLabelID
A4xC2xC1272A4xC2xC12288,979

Semidirect products G=N:Q with N=C2xA4 and Q=C12
extensionφ:Q→Out NdρLabelID
(C2xA4):C12 = C6xA4:C4φ: C12/C6C2 ⊆ Out C2xA472(C2xA4):C12288,905

Non-split extensions G=N.Q with N=C2xA4 and Q=C12
extensionφ:Q→Out NdρLabelID
(C2xA4).C12 = C3xA4:C8φ: C12/C6C2 ⊆ Out C2xA4723(C2xA4).C12288,398
(C2xA4).2C12 = A4xC24φ: trivial image723(C2xA4).2C12288,637

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