Extensions 1→N→G→Q→1 with N=C₄×C₇⋊C₃ and Q=C₂

Direct product G=N×Q with N=C₄×C₇⋊C₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×C₇⋊C₃		56		C2xC4xC7:C3	168,19

Semidirect products G=N:Q with N=C₄×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₇⋊C₃)⋊₁C₂ = C₄⋊F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₇⋊C₃	28	6+	(C4xC7:C3):1C2	168,9
(C₄×C₇⋊C₃)⋊₂C₂ = C₄×F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₇⋊C₃	28	6	(C4xC7:C3):2C2	168,8
(C₄×C₇⋊C₃)⋊₃C₂ = D₄×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₇⋊C₃	28	6	(C4xC7:C3):3C2	168,20

Non-split extensions G=N.Q with N=C₄×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₇⋊C₃).₁C₂ = C₄.F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₇⋊C₃	56	6-	(C4xC7:C3).1C2	168,7
(C₄×C₇⋊C₃).₂C₂ = C₇⋊C₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₇⋊C₃	56	6	(C4xC7:C3).2C2	168,1
(C₄×C₇⋊C₃).₃C₂ = Q₈×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₇⋊C₃	56	6	(C4xC7:C3).3C2	168,21
(C₄×C₇⋊C₃).₄C₂ = C₈×C₇⋊C₃	φ: trivial image	56	3	(C4xC7:C3).4C2	168,2

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