Extensions 1→N→G→Q→1 with N=C₆×D₇ and Q=C₂

Direct product G=N×Q with N=C₆×D₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₆×D₇		84		C2xC6xD7	168,54

Semidirect products G=N:Q with N=C₆×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₇)⋊₁C₂ = C₂₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₇	84	4-	(C6xD7):1C2	168,15
(C₆×D₇)⋊₂C₂ = C₃⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₇	84	4+	(C6xD7):2C2	168,16
(C₆×D₇)⋊₃C₂ = C₂×S₃×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₇	42	4+	(C6xD7):3C2	168,50
(C₆×D₇)⋊₄C₂ = C₃×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₇	84	2	(C6xD7):4C2	168,26
(C₆×D₇)⋊₅C₂ = C₃×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₇	84	2	(C6xD7):5C2	168,28

Non-split extensions G=N.Q with N=C₆×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₇).C₂ = Dic₃×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₇	84	4-	(C6xD7).C2	168,12
(C₆×D₇).₂C₂ = C₁₂×D₇	φ: trivial image	84	2	(C6xD7).2C2	168,25

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