Extensions 1→N→G→Q→1 with N=C₂xC₄xC₇:C₃ and Q=C₂

Direct product G=NxQ with N=C₂xC₄xC₇:C₃ and Q=C₂

		d	ρ	Label	ID
C₂²xC₄xC₇:C₃		112		C2^2xC4xC7:C3	336,164

Semidirect products G=N:Q with N=C₂xC₄xC₇:C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₄xC₇:C₃):₁C₂ = D₂₈:₆C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	56	6	(C2xC4xC7:C3):1C2	336,124
(C₂xC₄xC₇:C₃):₂C₂ = C₂xC₄:F₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	56		(C2xC4xC7:C3):2C2	336,123
(C₂xC₄xC₇:C₃):₃C₂ = C₂xC₄xF₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	56		(C2xC4xC7:C3):3C2	336,122
(C₂xC₄xC₇:C₃):₄C₂ = C₂xD₄xC₇:C₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	56		(C2xC4xC7:C3):4C2	336,165
(C₂xC₄xC₇:C₃):₅C₂ = C₄oD₄xC₇:C₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	56	6	(C2xC4xC7:C3):5C2	336,167
(C₂xC₄xC₇:C₃):₆C₂ = D₁₄:C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	56		(C2xC4xC7:C3):6C2	336,17
(C₂xC₄xC₇:C₃):₇C₂ = C₂²:C₄xC₇:C₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	56		(C2xC4xC7:C3):7C2	336,49

Non-split extensions G=N.Q with N=C₂xC₄xC₇:C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₄xC₇:C₃).₁C₂ = C₂₈.C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	56	6	(C2xC4xC7:C3).1C2	336,13
(C₂xC₄xC₇:C₃).₂C₂ = C₂₈:C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	112		(C2xC4xC7:C3).2C2	336,16
(C₂xC₄xC₇:C₃).₃C₂ = C₂xC₄.F₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	112		(C2xC4xC7:C3).3C2	336,121
(C₂xC₄xC₇:C₃).₄C₂ = C₂xC₇:C₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	112		(C2xC4xC7:C3).4C2	336,12
(C₂xC₄xC₇:C₃).₅C₂ = C₄xC₇:C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	112		(C2xC4xC7:C3).5C2	336,14
(C₂xC₄xC₇:C₃).₆C₂ = C₄:C₄xC₇:C₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	112		(C2xC4xC7:C3).6C2	336,50
(C₂xC₄xC₇:C₃).₇C₂ = M₄(2)xC₇:C₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	56	6	(C2xC4xC7:C3).7C2	336,52
(C₂xC₄xC₇:C₃).₈C₂ = C₂xQ₈xC₇:C₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	112		(C2xC4xC7:C3).8C2	336,166
(C₂xC₄xC₇:C₃).₉C₂ = Dic₇:C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xC₇:C₃	112		(C2xC4xC7:C3).9C2	336,15
(C₂xC₄xC₇:C₃).₁₀C₂ = C₄²xC₇:C₃	φ: trivial image	112		(C2xC4xC7:C3).10C2	336,48
(C₂xC₄xC₇:C₃).₁₁C₂ = C₂xC₈xC₇:C₃	φ: trivial image	112		(C2xC4xC7:C3).11C2	336,51

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