Extensions 1→N→G→Q→1 with N=A4xC14 and Q=C2

Direct product G=NxQ with N=A4xC14 and Q=C2
dρLabelID
A4xC2xC1484A4xC2xC14336,221

Semidirect products G=N:Q with N=A4xC14 and Q=C2
extensionφ:Q→Out NdρLabelID
(A4xC14):1C2 = C2xC7:S4φ: C2/C1C2 ⊆ Out A4xC14426+(A4xC14):1C2336,215
(A4xC14):2C2 = C2xA4xD7φ: C2/C1C2 ⊆ Out A4xC14426+(A4xC14):2C2336,217
(A4xC14):3C2 = C14xS4φ: C2/C1C2 ⊆ Out A4xC14423(A4xC14):3C2336,214

Non-split extensions G=N.Q with N=A4xC14 and Q=C2
extensionφ:Q→Out NdρLabelID
(A4xC14).1C2 = A4:Dic7φ: C2/C1C2 ⊆ Out A4xC14846-(A4xC14).1C2336,120
(A4xC14).2C2 = A4xDic7φ: C2/C1C2 ⊆ Out A4xC14846-(A4xC14).2C2336,133
(A4xC14).3C2 = C7xA4:C4φ: C2/C1C2 ⊆ Out A4xC14843(A4xC14).3C2336,117
(A4xC14).4C2 = A4xC28φ: trivial image843(A4xC14).4C2336,168

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