Extensions 1→N→G→Q→1 with N=Q₈×C₇⋊C₃ and Q=C₂

Direct product G=N×Q with N=Q₈×C₇⋊C₃ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈×C₇⋊C₃		112		C2xQ8xC7:C3	336,166

Semidirect products G=N:Q with N=Q₈×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₇⋊C₃)⋊₁C₂ = Q₈⋊₂F₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₇⋊C₃	56	12+	(Q8xC7:C3):1C2	336,20
(Q₈×C₇⋊C₃)⋊₂C₂ = Q₈×F₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₇⋊C₃	56	12-	(Q8xC7:C3):2C2	336,127
(Q₈×C₇⋊C₃)⋊₃C₂ = Q₈⋊₃F₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₇⋊C₃	56	12+	(Q8xC7:C3):3C2	336,128
(Q₈×C₇⋊C₃)⋊₄C₂ = SD₁₆×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₇⋊C₃	56	6	(Q8xC7:C3):4C2	336,54
(Q₈×C₇⋊C₃)⋊₅C₂ = C₄○D₄×C₇⋊C₃	φ: trivial image	56	6	(Q8xC7:C3):5C2	336,167

Non-split extensions G=N.Q with N=Q₈×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₇⋊C₃).₁C₂ = Q₈.₂F₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₇⋊C₃	112	12-	(Q8xC7:C3).1C2	336,21
(Q₈×C₇⋊C₃).₂C₂ = Q₁₆×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₇⋊C₃	112	6	(Q8xC7:C3).2C2	336,55

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