Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂xDic₇

Direct product G=NxQ with N=D₄ and Q=C₂xDic₇

		d	ρ	Label	ID
C₂xD₄xDic₇		224		C2xD4xDic7	448,1248

Semidirect products G=N:Q with N=D₄ and Q=C₂xDic₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₁(C₂xDic₇) = D₈xDic₇	φ: C₂xDic₇/Dic₇ → C₂ ⊆ Out D₄	224		D4:1(C2xDic7)	448,683
D₄:₂(C₂xDic₇) = D₈:Dic₇	φ: C₂xDic₇/Dic₇ → C₂ ⊆ Out D₄	224		D4:2(C2xDic7)	448,686
D₄:₃(C₂xDic₇) = C₂xD₄:Dic₇	φ: C₂xDic₇/C₂xC₁₄ → C₂ ⊆ Out D₄	224		D4:3(C2xDic7)	448,748
D₄:₄(C₂xDic₇) = C₄oD₄:Dic₇	φ: C₂xDic₇/C₂xC₁₄ → C₂ ⊆ Out D₄	224		D4:4(C2xDic7)	448,766
D₄:₅(C₂xDic₇) = C₂xD₄:₂Dic₇	φ: C₂xDic₇/C₂xC₁₄ → C₂ ⊆ Out D₄	112		D4:5(C2xDic7)	448,769
D₄:₆(C₂xDic₇) = C₂⁴.₃₈D₁₄	φ: trivial image	112		D4:6(C2xDic7)	448,1251
D₄:₇(C₂xDic₇) = C₄oD₄xDic₇	φ: trivial image	224		D4:7(C2xDic7)	448,1279
D₄:₈(C₂xDic₇) = C₁₄.₁₀₆2_-¹⁺⁴	φ: trivial image	224		D4:8(C2xDic7)	448,1280

Non-split extensions G=N.Q with N=D₄ and Q=C₂xDic₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂xDic₇) = SD₁₆xDic₇	φ: C₂xDic₇/Dic₇ → C₂ ⊆ Out D₄	224		D4.1(C2xDic7)	448,695
D₄.₂(C₂xDic₇) = SD₁₆:Dic₇	φ: C₂xDic₇/Dic₇ → C₂ ⊆ Out D₄	224		D4.2(C2xDic7)	448,698
D₄.₃(C₂xDic₇) = D₈:₅Dic₇	φ: C₂xDic₇/Dic₇ → C₂ ⊆ Out D₄	112	4	D4.3(C2xDic7)	448,730
D₄.₄(C₂xDic₇) = D₈:₄Dic₇	φ: C₂xDic₇/Dic₇ → C₂ ⊆ Out D₄	112	4	D4.4(C2xDic7)	448,731
D₄.₅(C₂xDic₇) = (D₄xC₁₄):₆C₄	φ: C₂xDic₇/C₂xC₁₄ → C₂ ⊆ Out D₄	112		D4.5(C2xDic7)	448,749
D₄.₆(C₂xDic₇) = C₂₈.(C₂xD₄)	φ: C₂xDic₇/C₂xC₁₄ → C₂ ⊆ Out D₄	224		D4.6(C2xDic7)	448,767
D₄.₇(C₂xDic₇) = (D₄xC₁₄):₉C₄	φ: C₂xDic₇/C₂xC₁₄ → C₂ ⊆ Out D₄	112	4	D4.7(C2xDic7)	448,770
D₄.₈(C₂xDic₇) = C₂xQ₈.Dic₇	φ: trivial image	224		D4.8(C2xDic7)	448,1271
D₄.₉(C₂xDic₇) = C₂₈.₇₆C₂⁴	φ: trivial image	112	4	D4.9(C2xDic7)	448,1272

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