Extensions 1→N→G→Q→1 with N=C₆×C₇⋊C₃ and Q=C₂

Direct product G=N×Q with N=C₆×C₇⋊C₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₆×C₇⋊C₃		84		C2xC6xC7:C3	252,38

Semidirect products G=N:Q with N=C₆×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×C₇⋊C₃)⋊₁C₂ = C₂×C₃⋊F₇	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₇⋊C₃	42	6+	(C6xC7:C3):1C2	252,30
(C₆×C₇⋊C₃)⋊₂C₂ = C₆×F₇	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₇⋊C₃	42	6	(C6xC7:C3):2C2	252,28
(C₆×C₇⋊C₃)⋊₃C₂ = C₂×S₃×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₇⋊C₃	42	6	(C6xC7:C3):3C2	252,29

Non-split extensions G=N.Q with N=C₆×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×C₇⋊C₃).₁C₂ = C₆.F₇	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₇⋊C₃	84	6-	(C6xC7:C3).1C2	252,18
(C₆×C₇⋊C₃).₂C₂ = C₃×C₇⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₇⋊C₃	84	6	(C6xC7:C3).2C2	252,16
(C₆×C₇⋊C₃).₃C₂ = Dic₃×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₇⋊C₃	84	6	(C6xC7:C3).3C2	252,17
(C₆×C₇⋊C₃).₄C₂ = C₁₂×C₇⋊C₃	φ: trivial image	84	3	(C6xC7:C3).4C2	252,19

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