Extensions 1→N→G→Q→1 with N=D₄×C₂₁ and Q=C₂

Direct product G=N×Q with N=D₄×C₂₁ and Q=C₂

		d	ρ	Label	ID
D₄×C₄₂		168		D4xC42	336,205

Semidirect products G=N:Q with N=D₄×C₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₂₁)⋊₁C₂ = D₄⋊D₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₁	168	4+	(D4xC21):1C2	336,101
(D₄×C₂₁)⋊₂C₂ = D₄×D₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₁	84	4+	(D4xC21):2C2	336,198
(D₄×C₂₁)⋊₃C₂ = D₄⋊₂D₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₁	168	4-	(D4xC21):3C2	336,199
(D₄×C₂₁)⋊₄C₂ = C₃×D₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₁	168	4	(D4xC21):4C2	336,69
(D₄×C₂₁)⋊₅C₂ = C₃×D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₁	84	4	(D4xC21):5C2	336,178
(D₄×C₂₁)⋊₆C₂ = C₃×D₄⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₁	168	4	(D4xC21):6C2	336,179
(D₄×C₂₁)⋊₇C₂ = C₇×D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₁	168	4	(D4xC21):7C2	336,85
(D₄×C₂₁)⋊₈C₂ = S₃×C₇×D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₁	84	4	(D4xC21):8C2	336,188
(D₄×C₂₁)⋊₉C₂ = C₇×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₁	168	4	(D4xC21):9C2	336,189
(D₄×C₂₁)⋊₁₀C₂ = D₈×C₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₁	168	2	(D4xC21):10C2	336,111
(D₄×C₂₁)⋊₁₁C₂ = C₄○D₄×C₂₁	φ: trivial image	168	2	(D4xC21):11C2	336,207

Non-split extensions G=N.Q with N=D₄×C₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₂₁).₁C₂ = D₄.D₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₁	168	4-	(D4xC21).1C2	336,102
(D₄×C₂₁).₂C₂ = C₃×D₄.D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₁	168	4	(D4xC21).2C2	336,70
(D₄×C₂₁).₃C₂ = C₇×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₁	168	4	(D4xC21).3C2	336,86
(D₄×C₂₁).₄C₂ = SD₁₆×C₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₁	168	2	(D4xC21).4C2	336,112

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