Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂×Dic₅

Direct product G=N×Q with N=Q₈ and Q=C₂×Dic₅

		d	ρ	Label	ID
C₂×Q₈×Dic₅		320		C2xQ8xDic5	320,1483

Semidirect products G=N:Q with N=Q₈ and Q=C₂×Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₂×Dic₅) = SD₁₆×Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out Q₈	160		Q8:1(C2xDic5)	320,788
Q₈⋊₂(C₂×Dic₅) = SD₁₆⋊Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out Q₈	160		Q8:2(C2xDic5)	320,791
Q₈⋊₃(C₂×Dic₅) = C₂×Q₈⋊Dic₅	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out Q₈	320		Q8:3(C2xDic5)	320,851
Q₈⋊₄(C₂×Dic₅) = C₄○D₄⋊Dic₅	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out Q₈	160		Q8:4(C2xDic5)	320,859
Q₈⋊₅(C₂×Dic₅) = C₂×D₄⋊₂Dic₅	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out Q₈	80		Q8:5(C2xDic5)	320,862
Q₈⋊₆(C₂×Dic₅) = C₄○D₄×Dic₅	φ: trivial image	160		Q8:6(C2xDic5)	320,1498
Q₈⋊₇(C₂×Dic₅) = C₁₀.₁₀₆2_-¹⁺⁴	φ: trivial image	160		Q8:7(C2xDic5)	320,1499

Non-split extensions G=N.Q with N=Q₈ and Q=C₂×Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂×Dic₅) = Q₁₆×Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out Q₈	320		Q8.1(C2xDic5)	320,810
Q₈.₂(C₂×Dic₅) = Q₁₆⋊Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out Q₈	320		Q8.2(C2xDic5)	320,811
Q₈.₃(C₂×Dic₅) = D₈⋊₅Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out Q₈	80	4	Q8.3(C2xDic5)	320,823
Q₈.₄(C₂×Dic₅) = D₈⋊₄Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out Q₈	80	4	Q8.4(C2xDic5)	320,824
Q₈.₅(C₂×Dic₅) = (Q₈×C₁₀)⋊₁₆C₄	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out Q₈	160		Q8.5(C2xDic5)	320,852
Q₈.₆(C₂×Dic₅) = C₂₀.(C₂×D₄)	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out Q₈	160		Q8.6(C2xDic5)	320,860
Q₈.₇(C₂×Dic₅) = (D₄×C₁₀)⋊₂₁C₄	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out Q₈	80	4	Q8.7(C2xDic5)	320,863
Q₈.₈(C₂×Dic₅) = C₁₀.₄₂2_-¹⁺⁴	φ: trivial image	160		Q8.8(C2xDic5)	320,1484
Q₈.₉(C₂×Dic₅) = C₂×D₄.Dic₅	φ: trivial image	160		Q8.9(C2xDic5)	320,1490
Q₈.₁₀(C₂×Dic₅) = C₂₀.₇₆C₂⁴	φ: trivial image	80	4	Q8.10(C2xDic5)	320,1491

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