Extensions 1→N→G→Q→1 with N=C22xA4 and Q=C2

Direct product G=NxQ with N=C22xA4 and Q=C2
dρLabelID
C23xA424C2^3xA496,228

Semidirect products G=N:Q with N=C22xA4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xA4):1C2 = D4xA4φ: C2/C1C2 ⊆ Out C22xA4126+(C2^2xA4):1C296,197
(C22xA4):2C2 = A4:D4φ: C2/C1C2 ⊆ Out C22xA4126+(C2^2xA4):2C296,195
(C22xA4):3C2 = C22xS4φ: C2/C1C2 ⊆ Out C22xA412(C2^2xA4):3C296,226

Non-split extensions G=N.Q with N=C22xA4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xA4).C2 = C2xA4:C4φ: C2/C1C2 ⊆ Out C22xA424(C2^2xA4).C296,194
(C22xA4).2C2 = C2xC4xA4φ: trivial image24(C2^2xA4).2C296,196

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