Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=Dic₇

Direct product G=N×Q with N=C₄○D₄ and Q=Dic₇

		d	ρ	Label	ID
C₄○D₄×Dic₇		224		C4oD4xDic7	448,1279

Semidirect products G=N:Q with N=C₄○D₄ and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁Dic₇ = C₄○D₄⋊Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄○D₄	224		C4oD4:1Dic7	448,766
C₄○D₄⋊₂Dic₇ = C₂₈.(C₂×D₄)	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄○D₄	224		C4oD4:2Dic7	448,767
C₄○D₄⋊₃Dic₇ = C₂×D₄⋊₂Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄○D₄	112		C4oD4:3Dic7	448,769
C₄○D₄⋊₄Dic₇ = (D₄×C₁₄)⋊₉C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄○D₄	112	4	C4oD4:4Dic7	448,770
C₄○D₄⋊₅Dic₇ = C₁₄.₁₀₆2_-¹⁺⁴	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄○D₄	224		C4oD4:5Dic7	448,1280

Non-split extensions G=N.Q with N=C₄○D₄ and Q=Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁Dic₇ = C₅₆.₉₂D₄	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄○D₄	224	4	C4oD4.1Dic7	448,118
C₄○D₄.₂Dic₇ = C₂₈.₇₆C₂⁴	φ: Dic₇/C₁₄ → C₂ ⊆ Out C₄○D₄	112	4	C4oD4.2Dic7	448,1272
C₄○D₄.₃Dic₇ = C₅₆.₇₀C₂³	φ: trivial image	224	4	C4oD4.3Dic7	448,674
C₄○D₄.₄Dic₇ = C₂×Q₈.Dic₇	φ: trivial image	224		C4oD4.4Dic7	448,1271

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