Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂×Dic₅

Direct product G=N×Q with N=D₄ and Q=C₂×Dic₅

		d	ρ	Label	ID
C₂×D₄×Dic₅		160		C2xD4xDic5	320,1467

Semidirect products G=N:Q with N=D₄ and Q=C₂×Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₂×Dic₅) = D₈×Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out D₄	160		D4:1(C2xDic5)	320,776
D₄⋊₂(C₂×Dic₅) = D₈⋊Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out D₄	160		D4:2(C2xDic5)	320,779
D₄⋊₃(C₂×Dic₅) = C₂×D₄⋊Dic₅	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out D₄	160		D4:3(C2xDic5)	320,841
D₄⋊₄(C₂×Dic₅) = C₄○D₄⋊Dic₅	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out D₄	160		D4:4(C2xDic5)	320,859
D₄⋊₅(C₂×Dic₅) = C₂×D₄⋊₂Dic₅	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out D₄	80		D4:5(C2xDic5)	320,862
D₄⋊₆(C₂×Dic₅) = C₂⁴.₃₈D₁₀	φ: trivial image	80		D4:6(C2xDic5)	320,1470
D₄⋊₇(C₂×Dic₅) = C₄○D₄×Dic₅	φ: trivial image	160		D4:7(C2xDic5)	320,1498
D₄⋊₈(C₂×Dic₅) = C₁₀.₁₀₆2_-¹⁺⁴	φ: trivial image	160		D4:8(C2xDic5)	320,1499

Non-split extensions G=N.Q with N=D₄ and Q=C₂×Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂×Dic₅) = SD₁₆×Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out D₄	160		D4.1(C2xDic5)	320,788
D₄.₂(C₂×Dic₅) = SD₁₆⋊Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out D₄	160		D4.2(C2xDic5)	320,791
D₄.₃(C₂×Dic₅) = D₈⋊₅Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out D₄	80	4	D4.3(C2xDic5)	320,823
D₄.₄(C₂×Dic₅) = D₈⋊₄Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out D₄	80	4	D4.4(C2xDic5)	320,824
D₄.₅(C₂×Dic₅) = (D₄×C₁₀)⋊₁₈C₄	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out D₄	80		D4.5(C2xDic5)	320,842
D₄.₆(C₂×Dic₅) = C₂₀.(C₂×D₄)	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out D₄	160		D4.6(C2xDic5)	320,860
D₄.₇(C₂×Dic₅) = (D₄×C₁₀)⋊₂₁C₄	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out D₄	80	4	D4.7(C2xDic5)	320,863
D₄.₈(C₂×Dic₅) = C₂×D₄.Dic₅	φ: trivial image	160		D4.8(C2xDic5)	320,1490
D₄.₉(C₂×Dic₅) = C₂₀.₇₆C₂⁴	φ: trivial image	80	4	D4.9(C2xDic5)	320,1491

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