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

Direct product G=N×Q with N=C₁₄ and Q=C₆

		d	ρ	Label	ID
C₂×C₄₂		84		C2xC42	84,15

Semidirect products G=N:Q with N=C₁₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊C₆ = C₂×F₇	φ: C₆/C₁ → C₆ ⊆ Aut C₁₄	14	6+	C14:C6	84,7
C₁₄⋊₂C₆ = C₂²×C₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₁₄	28		C14:2C6	84,9
C₁₄⋊₃C₆ = C₆×D₇	φ: C₆/C₃ → C₂ ⊆ Aut C₁₄	42	2	C14:3C6	84,12

Non-split extensions G=N.Q with N=C₁₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.C₆ = C₇⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₁₄	28	6-	C14.C6	84,1
C₁₄.₂C₆ = C₄×C₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₁₄	28	3	C14.2C6	84,2
C₁₄.₃C₆ = C₃×Dic₇	φ: C₆/C₃ → C₂ ⊆ Aut C₁₄	84	2	C14.3C6	84,4

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