Extensions 1→N→G→Q→1 with N=Q₈xC₃₁ and Q=C₂

Direct product G=NxQ with N=Q₈xC₃₁ and Q=C₂

		d	ρ	Label	ID
Q₈xC₆₂		496		Q8xC62	496,39

Semidirect products G=N:Q with N=Q₈xC₃₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₃₁):₁C₂ = Q₈:D₃₁	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃₁	248	4+	(Q8xC31):1C2	496,16
(Q₈xC₃₁):₂C₂ = Q₈xD₃₁	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃₁	248	4-	(Q8xC31):2C2	496,33
(Q₈xC₃₁):₃C₂ = Q₈:₂D₃₁	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃₁	248	4+	(Q8xC31):3C2	496,34
(Q₈xC₃₁):₄C₂ = SD₁₆xC₃₁	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃₁	248	2	(Q8xC31):4C2	496,25
(Q₈xC₃₁):₅C₂ = C₄oD₄xC₃₁	φ: trivial image	248	2	(Q8xC31):5C2	496,40

Non-split extensions G=N.Q with N=Q₈xC₃₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₃₁).₁C₂ = C₃₁:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃₁	496	4-	(Q8xC31).1C2	496,17
(Q₈xC₃₁).₂C₂ = Q₁₆xC₃₁	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₃₁	496	2	(Q8xC31).2C2	496,26

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