Extensions 1→N→G→Q→1 with N=D₄xC₇:C₃ and Q=C₂

Direct product G=NxQ with N=D₄xC₇:C₃ and Q=C₂

		d	ρ	Label	ID
C₂xD₄xC₇:C₃		56		C2xD4xC7:C3	336,165

Semidirect products G=N:Q with N=D₄xC₇:C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₇:C₃):₁C₂ = D₄:F₇	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₇:C₃	56	12+	(D4xC7:C3):1C2	336,18
(D₄xC₇:C₃):₂C₂ = D₄xF₇	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₇:C₃	28	12+	(D4xC7:C3):2C2	336,125
(D₄xC₇:C₃):₃C₂ = D₄:₂F₇	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₇:C₃	56	12-	(D4xC7:C3):3C2	336,126
(D₄xC₇:C₃):₄C₂ = D₈xC₇:C₃	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₇:C₃	56	6	(D4xC7:C3):4C2	336,53
(D₄xC₇:C₃):₅C₂ = C₄oD₄xC₇:C₃	φ: trivial image	56	6	(D4xC7:C3):5C2	336,167

Non-split extensions G=N.Q with N=D₄xC₇:C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₇:C₃).₁C₂ = D₄.F₇	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₇:C₃	56	12-	(D4xC7:C3).1C2	336,19
(D₄xC₇:C₃).₂C₂ = SD₁₆xC₇:C₃	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₇:C₃	56	6	(D4xC7:C3).2C2	336,54

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