Extensions 1→N→G→Q→1 with N=C7:C12 and Q=C2

Direct product G=NxQ with N=C7:C12 and Q=C2
dρLabelID
C2xC7:C1256C2xC7:C12168,10

Semidirect products G=N:Q with N=C7:C12 and Q=C2
extensionφ:Q→Out NdρLabelID
C7:C12:C2 = Dic7:C6φ: C2/C1C2 ⊆ Out C7:C12286C7:C12:C2168,11
C7:C12:2C2 = C4xF7φ: trivial image286C7:C12:2C2168,8

Non-split extensions G=N.Q with N=C7:C12 and Q=C2
extensionφ:Q→Out NdρLabelID
C7:C12.C2 = C4.F7φ: C2/C1C2 ⊆ Out C7:C12566-C7:C12.C2168,7

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