Extensions 1→N→G→Q→1 with N=D₄ and Q=Dic₁₄

Direct product G=N×Q with N=D₄ and Q=Dic₁₄

		d	ρ	Label	ID
D₄×Dic₁₄		224		D4xDic14	448,990

Semidirect products G=N:Q with N=D₄ and Q=Dic₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁Dic₁₄ = Dic₇.D₈	φ: Dic₁₄/Dic₇ → C₂ ⊆ Out D₄	224		D4:1Dic14	448,293
D₄⋊₂Dic₁₄ = D₄⋊Dic₁₄	φ: Dic₁₄/Dic₇ → C₂ ⊆ Out D₄	224		D4:2Dic14	448,295
D₄⋊₃Dic₁₄ = C₂₈.₅₀D₈	φ: Dic₁₄/C₂₈ → C₂ ⊆ Out D₄	224		D4:3Dic14	448,541
D₄⋊₄Dic₁₄ = C₂₈.₃₈SD₁₆	φ: Dic₁₄/C₂₈ → C₂ ⊆ Out D₄	224		D4:4Dic14	448,542
D₄⋊₅Dic₁₄ = D₄⋊₅Dic₁₄	φ: trivial image	224		D4:5Dic14	448,992
D₄⋊₆Dic₁₄ = D₄⋊₆Dic₁₄	φ: trivial image	224		D4:6Dic14	448,996

Non-split extensions G=N.Q with N=D₄ and Q=Dic₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁Dic₁₄ = D₄.Dic₁₄	φ: Dic₁₄/Dic₇ → C₂ ⊆ Out D₄	224		D4.1Dic14	448,297
D₄.₂Dic₁₄ = D₄.₂Dic₁₄	φ: Dic₁₄/Dic₇ → C₂ ⊆ Out D₄	224		D4.2Dic14	448,300
D₄.₃Dic₁₄ = D₄.₃Dic₁₄	φ: Dic₁₄/C₂₈ → C₂ ⊆ Out D₄	224		D4.3Dic14	448,543

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