Extensions 1→N→G→Q→1 with N=C2xC6 and Q=D7

Direct product G=NxQ with N=C2xC6 and Q=D7
dρLabelID
C2xC6xD784C2xC6xD7168,54

Semidirect products G=N:Q with N=C2xC6 and Q=D7
extensionφ:Q→Aut NdρLabelID
(C2xC6):1D7 = C3xC7:D4φ: D7/C7C2 ⊆ Aut C2xC6842(C2xC6):1D7168,28
(C2xC6):2D7 = C21:7D4φ: D7/C7C2 ⊆ Aut C2xC6842(C2xC6):2D7168,38
(C2xC6):3D7 = C22xD21φ: D7/C7C2 ⊆ Aut C2xC684(C2xC6):3D7168,56

Non-split extensions G=N.Q with N=C2xC6 and Q=D7
extensionφ:Q→Aut NdρLabelID
(C2xC6).D7 = C2xDic21φ: D7/C7C2 ⊆ Aut C2xC6168(C2xC6).D7168,37
(C2xC6).2D7 = C6xDic7central extension (φ=1)168(C2xC6).2D7168,27

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