Extensions 1→N→G→Q→1 with N=Q₈×C₂₁ and Q=C₂

Direct product G=N×Q with N=Q₈×C₂₁ and Q=C₂

		d	ρ	Label	ID
Q₈×C₄₂		336		Q8xC42	336,206

Semidirect products G=N:Q with N=Q₈×C₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₂₁)⋊₁C₂ = Q₈⋊₂D₂₁	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₁	168	4+	(Q8xC21):1C2	336,103
(Q₈×C₂₁)⋊₂C₂ = Q₈×D₂₁	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₁	168	4-	(Q8xC21):2C2	336,200
(Q₈×C₂₁)⋊₃C₂ = Q₈⋊₃D₂₁	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₁	168	4+	(Q8xC21):3C2	336,201
(Q₈×C₂₁)⋊₄C₂ = C₃×Q₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₁	168	4	(Q8xC21):4C2	336,71
(Q₈×C₂₁)⋊₅C₂ = C₃×Q₈×D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₁	168	4	(Q8xC21):5C2	336,180
(Q₈×C₂₁)⋊₆C₂ = C₃×Q₈⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₁	168	4	(Q8xC21):6C2	336,181
(Q₈×C₂₁)⋊₇C₂ = C₇×Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₁	168	4	(Q8xC21):7C2	336,87
(Q₈×C₂₁)⋊₈C₂ = S₃×C₇×Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₁	168	4	(Q8xC21):8C2	336,190
(Q₈×C₂₁)⋊₉C₂ = C₇×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₁	168	4	(Q8xC21):9C2	336,191
(Q₈×C₂₁)⋊₁₀C₂ = SD₁₆×C₂₁	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₁	168	2	(Q8xC21):10C2	336,112
(Q₈×C₂₁)⋊₁₁C₂ = C₄○D₄×C₂₁	φ: trivial image	168	2	(Q8xC21):11C2	336,207

Non-split extensions G=N.Q with N=Q₈×C₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₂₁).₁C₂ = C₂₁⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₁	336	4-	(Q8xC21).1C2	336,104
(Q₈×C₂₁).₂C₂ = C₃×C₇⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₁	336	4	(Q8xC21).2C2	336,72
(Q₈×C₂₁).₃C₂ = C₇×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₁	336	4	(Q8xC21).3C2	336,88
(Q₈×C₂₁).₄C₂ = Q₁₆×C₂₁	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₁	336	2	(Q8xC21).4C2	336,113

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