Extensions 1→N→G→Q→1 with N=D₄xC₂₁ and Q=C₂

Direct product G=NxQ with N=D₄xC₂₁ and Q=C₂

		d	ρ	Label	ID
D₄xC₄₂		168		D4xC42	336,205

Semidirect products G=N:Q with N=D₄xC₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₂₁):₁C₂ = D₄:D₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₁	168	4+	(D4xC21):1C2	336,101
(D₄xC₂₁):₂C₂ = D₄xD₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₁	84	4+	(D4xC21):2C2	336,198
(D₄xC₂₁):₃C₂ = D₄:₂D₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₁	168	4-	(D4xC21):3C2	336,199
(D₄xC₂₁):₄C₂ = C₃xD₄:D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₁	168	4	(D4xC21):4C2	336,69
(D₄xC₂₁):₅C₂ = C₃xD₄xD₇	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₁	84	4	(D4xC21):5C2	336,178
(D₄xC₂₁):₆C₂ = C₃xD₄:₂D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₁	168	4	(D4xC21):6C2	336,179
(D₄xC₂₁):₇C₂ = C₇xD₄:S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₁	168	4	(D4xC21):7C2	336,85
(D₄xC₂₁):₈C₂ = S₃xC₇xD₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₁	84	4	(D4xC21):8C2	336,188
(D₄xC₂₁):₉C₂ = C₇xD₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₁	168	4	(D4xC21):9C2	336,189
(D₄xC₂₁):₁₀C₂ = D₈xC₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₁	168	2	(D4xC21):10C2	336,111
(D₄xC₂₁):₁₁C₂ = C₄oD₄xC₂₁	φ: trivial image	168	2	(D4xC21):11C2	336,207

Non-split extensions G=N.Q with N=D₄xC₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₂₁).₁C₂ = D₄.D₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₁	168	4-	(D4xC21).1C2	336,102
(D₄xC₂₁).₂C₂ = C₃xD₄.D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₁	168	4	(D4xC21).2C2	336,70
(D₄xC₂₁).₃C₂ = C₇xD₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₁	168	4	(D4xC21).3C2	336,86
(D₄xC₂₁).₄C₂ = SD₁₆xC₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₁	168	2	(D4xC21).4C2	336,112

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