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

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

		d	ρ	Label	ID
C₂×D₂₁⋊C₄		168		C2xD21:C4	336,156

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₁⋊C₄⋊₁C₂ = D₈₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₂₁⋊C₄	168	4+	D21:C4:1C2	336,142
D₂₁⋊C₄⋊₂C₂ = D₁₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₁⋊C₄	168	4+	D21:C4:2C2	336,146
D₂₁⋊C₄⋊₃C₂ = Dic₇.D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₁⋊C₄	168	4	D21:C4:3C2	336,152
D₂₁⋊C₄⋊₄C₂ = Dic₃.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₁⋊C₄	168	4	D21:C4:4C2	336,155
D₂₁⋊C₄⋊₅C₂ = D₆⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₁⋊C₄	84	4+	D21:C4:5C2	336,163
D₂₁⋊C₄⋊₆C₂ = C₄×S₃×D₇	φ: trivial image	84	4	D21:C4:6C2	336,147

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₁⋊C₄.C₂ = D₂₁⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₂₁⋊C₄	168	4	D21:C4.C2	336,143

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