Extensions 1→N→G→Q→1 with N=C7xD4 and Q=C4

Direct product G=NxQ with N=C7xD4 and Q=C4
dρLabelID
D4xC28112D4xC28224,153

Semidirect products G=N:Q with N=C7xD4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C7xD4):1C4 = D4:Dic7φ: C4/C2C2 ⊆ Out C7xD4112(C7xD4):1C4224,38
(C7xD4):2C4 = D4:2Dic7φ: C4/C2C2 ⊆ Out C7xD4564(C7xD4):2C4224,43
(C7xD4):3C4 = D4xDic7φ: C4/C2C2 ⊆ Out C7xD4112(C7xD4):3C4224,129
(C7xD4):4C4 = C7xD4:C4φ: C4/C2C2 ⊆ Out C7xD4112(C7xD4):4C4224,51
(C7xD4):5C4 = C7xC4wrC2φ: C4/C2C2 ⊆ Out C7xD4562(C7xD4):5C4224,53

Non-split extensions G=N.Q with N=C7xD4 and Q=C4
extensionφ:Q→Out NdρLabelID
(C7xD4).C4 = Q8.Dic7φ: C4/C2C2 ⊆ Out C7xD41124(C7xD4).C4224,143
(C7xD4).2C4 = C7xC8oD4φ: trivial image1122(C7xD4).2C4224,166

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