Extensions 1→N→G→Q→1 with N=Q₈xC₇:C₃ and Q=C₂

Direct product G=NxQ with N=Q₈xC₇:C₃ and Q=C₂

		d	ρ	Label	ID
C₂xQ₈xC₇:C₃		112		C2xQ8xC7:C3	336,166

Semidirect products G=N:Q with N=Q₈xC₇:C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₇:C₃):₁C₂ = Q₈:₂F₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₇:C₃	56	12+	(Q8xC7:C3):1C2	336,20
(Q₈xC₇:C₃):₂C₂ = Q₈xF₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₇:C₃	56	12-	(Q8xC7:C3):2C2	336,127
(Q₈xC₇:C₃):₃C₂ = Q₈:₃F₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₇:C₃	56	12+	(Q8xC7:C3):3C2	336,128
(Q₈xC₇:C₃):₄C₂ = SD₁₆xC₇:C₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₇:C₃	56	6	(Q8xC7:C3):4C2	336,54
(Q₈xC₇:C₃):₅C₂ = C₄oD₄xC₇:C₃	φ: trivial image	56	6	(Q8xC7:C3):5C2	336,167

Non-split extensions G=N.Q with N=Q₈xC₇:C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₇:C₃).₁C₂ = Q₈.₂F₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₇:C₃	112	12-	(Q8xC7:C3).1C2	336,21
(Q₈xC₇:C₃).₂C₂ = Q₁₆xC₇:C₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₇:C₃	112	6	(Q8xC7:C3).2C2	336,55

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