Extensions 1→N→G→Q→1 with N=C₂xC₇:C₃ and Q=D₄

Direct product G=NxQ with N=C₂xC₇:C₃ and Q=D₄

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

Semidirect products G=N:Q with N=C₂xC₇:C₃ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₇:C₃):₁D₄ = C₂xC₄:F₇	φ: D₄/C₄ → C₂ ⊆ Out C₂xC₇:C₃	56		(C2xC7:C3):1D4	336,123
(C₂xC₇:C₃):₂D₄ = C₂xDic₇:C₆	φ: D₄/C₂² → C₂ ⊆ Out C₂xC₇:C₃	56		(C2xC7:C3):2D4	336,130

Non-split extensions G=N.Q with N=C₂xC₇:C₃ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₇:C₃).₁D₄ = C₅₆:C₆	φ: D₄/C₄ → C₂ ⊆ Out C₂xC₇:C₃	56	6	(C2xC7:C3).1D4	336,9
(C₂xC₇:C₃).₂D₄ = D₅₆:C₃	φ: D₄/C₄ → C₂ ⊆ Out C₂xC₇:C₃	56	6+	(C2xC7:C3).2D4	336,10
(C₂xC₇:C₃).₃D₄ = C₈.F₇	φ: D₄/C₄ → C₂ ⊆ Out C₂xC₇:C₃	112	6-	(C2xC7:C3).3D4	336,11
(C₂xC₇:C₃).₄D₄ = C₂₈:C₁₂	φ: D₄/C₄ → C₂ ⊆ Out C₂xC₇:C₃	112		(C2xC7:C3).4D4	336,16
(C₂xC₇:C₃).₅D₄ = Dic₇:C₁₂	φ: D₄/C₂² → C₂ ⊆ Out C₂xC₇:C₃	112		(C2xC7:C3).5D4	336,15
(C₂xC₇:C₃).₆D₄ = D₁₄:C₁₂	φ: D₄/C₂² → C₂ ⊆ Out C₂xC₇:C₃	56		(C2xC7:C3).6D4	336,17
(C₂xC₇:C₃).₇D₄ = D₄:F₇	φ: D₄/C₂² → C₂ ⊆ Out C₂xC₇:C₃	56	12+	(C2xC7:C3).7D4	336,18
(C₂xC₇:C₃).₈D₄ = D₄.F₇	φ: D₄/C₂² → C₂ ⊆ Out C₂xC₇:C₃	56	12-	(C2xC7:C3).8D4	336,19
(C₂xC₇:C₃).₉D₄ = Q₈:₂F₇	φ: D₄/C₂² → C₂ ⊆ Out C₂xC₇:C₃	56	12+	(C2xC7:C3).9D4	336,20
(C₂xC₇:C₃).₁₀D₄ = Q₈.₂F₇	φ: D₄/C₂² → C₂ ⊆ Out C₂xC₇:C₃	112	12-	(C2xC7:C3).10D4	336,21
(C₂xC₇:C₃).₁₁D₄ = C₂³.₂F₇	φ: D₄/C₂² → C₂ ⊆ Out C₂xC₇:C₃	56		(C2xC7:C3).11D4	336,22
(C₂xC₇:C₃).₁₂D₄ = C₂²:C₄xC₇:C₃	φ: trivial image	56		(C2xC7:C3).12D4	336,49
(C₂xC₇:C₃).₁₃D₄ = C₄:C₄xC₇:C₃	φ: trivial image	112		(C2xC7:C3).13D4	336,50
(C₂xC₇:C₃).₁₄D₄ = D₈xC₇:C₃	φ: trivial image	56	6	(C2xC7:C3).14D4	336,53
(C₂xC₇:C₃).₁₅D₄ = SD₁₆xC₇:C₃	φ: trivial image	56	6	(C2xC7:C3).15D4	336,54
(C₂xC₇:C₃).₁₆D₄ = Q₁₆xC₇:C₃	φ: trivial image	112	6	(C2xC7:C3).16D4	336,55

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