Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂×Dic₇

Direct product G=N×Q with N=Q₈ and Q=C₂×Dic₇

		d	ρ	Label	ID
C₂×Q₈×Dic₇		448		C2xQ8xDic7	448,1264

Semidirect products G=N:Q with N=Q₈ and Q=C₂×Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₂×Dic₇) = SD₁₆×Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Out Q₈	224		Q8:1(C2xDic7)	448,695
Q₈⋊₂(C₂×Dic₇) = SD₁₆⋊Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Out Q₈	224		Q8:2(C2xDic7)	448,698
Q₈⋊₃(C₂×Dic₇) = C₂×Q₈⋊Dic₇	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Out Q₈	448		Q8:3(C2xDic7)	448,758
Q₈⋊₄(C₂×Dic₇) = C₄○D₄⋊Dic₇	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Out Q₈	224		Q8:4(C2xDic7)	448,766
Q₈⋊₅(C₂×Dic₇) = C₂×D₄⋊₂Dic₇	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Out Q₈	112		Q8:5(C2xDic7)	448,769
Q₈⋊₆(C₂×Dic₇) = C₄○D₄×Dic₇	φ: trivial image	224		Q8:6(C2xDic7)	448,1279
Q₈⋊₇(C₂×Dic₇) = C₁₄.₁₀₆2_-¹⁺⁴	φ: trivial image	224		Q8:7(C2xDic7)	448,1280

Non-split extensions G=N.Q with N=Q₈ and Q=C₂×Dic₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂×Dic₇) = Q₁₆×Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Out Q₈	448		Q8.1(C2xDic7)	448,717
Q₈.₂(C₂×Dic₇) = Q₁₆⋊Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Out Q₈	448		Q8.2(C2xDic7)	448,718
Q₈.₃(C₂×Dic₇) = D₈⋊₅Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Out Q₈	112	4	Q8.3(C2xDic7)	448,730
Q₈.₄(C₂×Dic₇) = D₈⋊₄Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Out Q₈	112	4	Q8.4(C2xDic7)	448,731
Q₈.₅(C₂×Dic₇) = (Q₈×C₁₄)⋊₆C₄	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Out Q₈	224		Q8.5(C2xDic7)	448,759
Q₈.₆(C₂×Dic₇) = C₂₈.(C₂×D₄)	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Out Q₈	224		Q8.6(C2xDic7)	448,767
Q₈.₇(C₂×Dic₇) = (D₄×C₁₄)⋊₉C₄	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Out Q₈	112	4	Q8.7(C2xDic7)	448,770
Q₈.₈(C₂×Dic₇) = C₁₄.₄₂2_-¹⁺⁴	φ: trivial image	224		Q8.8(C2xDic7)	448,1265
Q₈.₉(C₂×Dic₇) = C₂×Q₈.Dic₇	φ: trivial image	224		Q8.9(C2xDic7)	448,1271
Q₈.₁₀(C₂×Dic₇) = C₂₈.₇₆C₂⁴	φ: trivial image	112	4	Q8.10(C2xDic7)	448,1272

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