Extensions 1→N→G→Q→1 with N=C₄×D₂₁ and Q=C₂

Direct product G=N×Q with N=C₄×D₂₁ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×D₂₁		168		C2xC4xD21	336,195

Semidirect products G=N:Q with N=C₄×D₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₂₁)⋊₁C₂ = D₄×D₂₁	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₁	84	4+	(C4xD21):1C2	336,198
(C₄×D₂₁)⋊₂C₂ = D₄⋊₂D₂₁	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₁	168	4-	(C4xD21):2C2	336,199
(C₄×D₂₁)⋊₃C₂ = Q₈⋊₃D₂₁	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₁	168	4+	(C4xD21):3C2	336,201
(C₄×D₂₁)⋊₄C₂ = D₈₄⋊₁₁C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₁	168	2	(C4xD21):4C2	336,197
(C₄×D₂₁)⋊₅C₂ = D₂₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₁	168	4	(C4xD21):5C2	336,139
(C₄×D₂₁)⋊₆C₂ = D₁₂⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₁	168	4	(C4xD21):6C2	336,141
(C₄×D₂₁)⋊₇C₂ = C₂₈⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₁	84	4	(C4xD21):7C2	336,150
(C₄×D₂₁)⋊₈C₂ = D₆.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₁	168	4	(C4xD21):8C2	336,144
(C₄×D₂₁)⋊₉C₂ = C₄×S₃×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₁	84	4	(C4xD21):9C2	336,147

Non-split extensions G=N.Q with N=C₄×D₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₂₁).₁C₂ = Q₈×D₂₁	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₁	168	4-	(C4xD21).1C2	336,200
(C₄×D₂₁).₂C₂ = C₅₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₁	168	2	(C4xD21).2C2	336,91
(C₄×D₂₁).₃C₂ = D₂₁⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₁	168	4	(C4xD21).3C2	336,143
(C₄×D₂₁).₄C₂ = D₂₁⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₁	168	4	(C4xD21).4C2	336,25
(C₄×D₂₁).₅C₂ = D₄₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₁	168	4	(C4xD21).5C2	336,28
(C₄×D₂₁).₆C₂ = C₈×D₂₁	φ: trivial image	168	2	(C4xD21).6C2	336,90

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