Extensions 1→N→G→Q→1 with N=C7xA4 and Q=C22

Direct product G=NxQ with N=C7xA4 and Q=C22
dρLabelID
A4xC2xC1484A4xC2xC14336,221

Semidirect products G=N:Q with N=C7xA4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C7xA4):C22 = D7xS4φ: C22/C1C22 ⊆ Out C7xA4286+(C7xA4):C2^2336,212
(C7xA4):2C22 = C2xC7:S4φ: C22/C2C2 ⊆ Out C7xA4426+(C7xA4):2C2^2336,215
(C7xA4):3C22 = C2xA4xD7φ: C22/C2C2 ⊆ Out C7xA4426+(C7xA4):3C2^2336,217
(C7xA4):4C22 = C14xS4φ: C22/C2C2 ⊆ Out C7xA4423(C7xA4):4C2^2336,214


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