Extensions 1→N→G→Q→1 with N=C14 and Q=C6

Direct product G=NxQ with N=C14 and Q=C6
dρLabelID
C2xC4284C2xC4284,15

Semidirect products G=N:Q with N=C14 and Q=C6
extensionφ:Q→Aut NdρLabelID
C14:C6 = C2xF7φ: C6/C1C6 ⊆ Aut C14146+C14:C684,7
C14:2C6 = C22xC7:C3φ: C6/C2C3 ⊆ Aut C1428C14:2C684,9
C14:3C6 = C6xD7φ: C6/C3C2 ⊆ Aut C14422C14:3C684,12

Non-split extensions G=N.Q with N=C14 and Q=C6
extensionφ:Q→Aut NdρLabelID
C14.C6 = C7:C12φ: C6/C1C6 ⊆ Aut C14286-C14.C684,1
C14.2C6 = C4xC7:C3φ: C6/C2C3 ⊆ Aut C14283C14.2C684,2
C14.3C6 = C3xDic7φ: C6/C3C2 ⊆ Aut C14842C14.3C684,4

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