Extensions 1→N→G→Q→1 with N=C₇xC₄oD₄ and Q=C₂

Direct product G=NxQ with N=C₇xC₄oD₄ and Q=C₂

		d	ρ	Label	ID
C₁₄xC₄oD₄		112		C14xC4oD4	224,192

Semidirect products G=N:Q with N=C₇xC₄oD₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xC₄oD₄):₁C₂ = D₄:D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₄	56	4+	(C7xC4oD4):1C2	224,144
(C₇xC₄oD₄):₂C₂ = D₄.₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₄	112	4	(C7xC4oD4):2C2	224,145
(C₇xC₄oD₄):₃C₂ = D₇xC₄oD₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₄	56	4	(C7xC4oD4):3C2	224,184
(C₇xC₄oD₄):₄C₂ = D₄:₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₄	56	4+	(C7xC4oD4):4C2	224,185
(C₇xC₄oD₄):₅C₂ = D₄.₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₄	112	4-	(C7xC4oD4):5C2	224,186
(C₇xC₄oD₄):₆C₂ = C₇xC₄oD₈	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₄	112	2	(C7xC4oD4):6C2	224,170
(C₇xC₄oD₄):₇C₂ = C₇xC₈:C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₄	56	4	(C7xC4oD4):7C2	224,171
(C₇xC₄oD₄):₈C₂ = C₇x2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₄	56	4	(C7xC4oD4):8C2	224,193
(C₇xC₄oD₄):₉C₂ = C₇x2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₄	112	4	(C7xC4oD4):9C2	224,194

Non-split extensions G=N.Q with N=C₇xC₄oD₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xC₄oD₄).₁C₂ = D₄:₂Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₄	56	4	(C7xC4oD4).1C2	224,43
(C₇xC₄oD₄).₂C₂ = Q₈.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₄	112	4	(C7xC4oD4).2C2	224,143
(C₇xC₄oD₄).₃C₂ = D₄.₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₄	112	4-	(C7xC4oD4).3C2	224,146
(C₇xC₄oD₄).₄C₂ = C₇xC₄wrC₂	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₄	56	2	(C7xC4oD4).4C2	224,53
(C₇xC₄oD₄).₅C₂ = C₇xC₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇xC₄oD₄	112	4	(C7xC4oD4).5C2	224,172
(C₇xC₄oD₄).₆C₂ = C₇xC₈oD₄	φ: trivial image	112	2	(C7xC4oD4).6C2	224,166

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