Extensions 1→N→G→Q→1 with N=C2xC6xD7 and Q=C2

Direct product G=NxQ with N=C2xC6xD7 and Q=C2
dρLabelID
D7xC22xC6168D7xC2^2xC6336,225

Semidirect products G=N:Q with N=C2xC6xD7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC6xD7):1C2 = C2xC21:D4φ: C2/C1C2 ⊆ Out C2xC6xD7168(C2xC6xD7):1C2336,157
(C2xC6xD7):2C2 = C2xC3:D28φ: C2/C1C2 ⊆ Out C2xC6xD7168(C2xC6xD7):2C2336,158
(C2xC6xD7):3C2 = D7xC3:D4φ: C2/C1C2 ⊆ Out C2xC6xD7844(C2xC6xD7):3C2336,161
(C2xC6xD7):4C2 = C22xS3xD7φ: C2/C1C2 ⊆ Out C2xC6xD784(C2xC6xD7):4C2336,219
(C2xC6xD7):5C2 = C6xD28φ: C2/C1C2 ⊆ Out C2xC6xD7168(C2xC6xD7):5C2336,176
(C2xC6xD7):6C2 = C3xD4xD7φ: C2/C1C2 ⊆ Out C2xC6xD7844(C2xC6xD7):6C2336,178
(C2xC6xD7):7C2 = C6xC7:D4φ: C2/C1C2 ⊆ Out C2xC6xD7168(C2xC6xD7):7C2336,183

Non-split extensions G=N.Q with N=C2xC6xD7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC6xD7).1C2 = D14:Dic3φ: C2/C1C2 ⊆ Out C2xC6xD7168(C2xC6xD7).1C2336,42
(C2xC6xD7).2C2 = C2xDic3xD7φ: C2/C1C2 ⊆ Out C2xC6xD7168(C2xC6xD7).2C2336,151
(C2xC6xD7).3C2 = C3xD14:C4φ: C2/C1C2 ⊆ Out C2xC6xD7168(C2xC6xD7).3C2336,68
(C2xC6xD7).4C2 = D7xC2xC12φ: trivial image168(C2xC6xD7).4C2336,175

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