Extensions 1→N→G→Q→1 with N=Q₈xC₂₁ and Q=C₂

Direct product G=NxQ with N=Q₈xC₂₁ and Q=C₂

		d	ρ	Label	ID
Q₈xC₄₂		336		Q8xC42	336,206

Semidirect products G=N:Q with N=Q₈xC₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₂₁):₁C₂ = Q₈:₂D₂₁	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₂₁	168	4+	(Q8xC21):1C2	336,103
(Q₈xC₂₁):₂C₂ = Q₈xD₂₁	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₂₁	168	4-	(Q8xC21):2C2	336,200
(Q₈xC₂₁):₃C₂ = Q₈:₃D₂₁	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₂₁	168	4+	(Q8xC21):3C2	336,201
(Q₈xC₂₁):₄C₂ = C₃xQ₈:D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₂₁	168	4	(Q8xC21):4C2	336,71
(Q₈xC₂₁):₅C₂ = C₃xQ₈xD₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₂₁	168	4	(Q8xC21):5C2	336,180
(Q₈xC₂₁):₆C₂ = C₃xQ₈:₂D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₂₁	168	4	(Q8xC21):6C2	336,181
(Q₈xC₂₁):₇C₂ = C₇xQ₈:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₂₁	168	4	(Q8xC21):7C2	336,87
(Q₈xC₂₁):₈C₂ = S₃xC₇xQ₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₂₁	168	4	(Q8xC21):8C2	336,190
(Q₈xC₂₁):₉C₂ = C₇xQ₈:₃S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₂₁	168	4	(Q8xC21):9C2	336,191
(Q₈xC₂₁):₁₀C₂ = SD₁₆xC₂₁	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₂₁	168	2	(Q8xC21):10C2	336,112
(Q₈xC₂₁):₁₁C₂ = C₄oD₄xC₂₁	φ: trivial image	168	2	(Q8xC21):11C2	336,207

Non-split extensions G=N.Q with N=Q₈xC₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₂₁).₁C₂ = C₂₁:₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₂₁	336	4-	(Q8xC21).1C2	336,104
(Q₈xC₂₁).₂C₂ = C₃xC₇:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₂₁	336	4	(Q8xC21).2C2	336,72
(Q₈xC₂₁).₃C₂ = C₇xC₃:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₂₁	336	4	(Q8xC21).3C2	336,88
(Q₈xC₂₁).₄C₂ = Q₁₆xC₂₁	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₂₁	336	2	(Q8xC21).4C2	336,113

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