Extensions 1→N→G→Q→1 with N=C14 and Q=C12

Direct product G=NxQ with N=C14 and Q=C12
dρLabelID
C2xC84168C2xC84168,39

Semidirect products G=N:Q with N=C14 and Q=C12
extensionφ:Q→Aut NdρLabelID
C14:C12 = C2xC7:C12φ: C12/C2C6 ⊆ Aut C1456C14:C12168,10
C14:2C12 = C2xC4xC7:C3φ: C12/C4C3 ⊆ Aut C1456C14:2C12168,19
C14:3C12 = C6xDic7φ: C12/C6C2 ⊆ Aut C14168C14:3C12168,27

Non-split extensions G=N.Q with N=C14 and Q=C12
extensionφ:Q→Aut NdρLabelID
C14.C12 = C7:C24φ: C12/C2C6 ⊆ Aut C14566C14.C12168,1
C14.2C12 = C8xC7:C3φ: C12/C4C3 ⊆ Aut C14563C14.2C12168,2
C14.3C12 = C3xC7:C8φ: C12/C6C2 ⊆ Aut C141682C14.3C12168,4

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