Extensions 1→N→G→Q→1 with N=C₂×C₄○D₄ and Q=D₅

Direct product G=N×Q with N=C₂×C₄○D₄ and Q=D₅

		d	ρ	Label	ID
C₂×D₅×C₄○D₄		80		C2xD5xC4oD4	320,1618

Semidirect products G=N:Q with N=C₂×C₄○D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄○D₄)⋊₁D₅ = (C₅×D₄)⋊₁₄D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):1D5	320,865
(C₂×C₄○D₄)⋊₂D₅ = C₂×D₄⋊D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80		(C2xC4oD4):2D5	320,1492
(C₂×C₄○D₄)⋊₃D₅ = C₂×D₄.₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):3D5	320,1493
(C₂×C₄○D₄)⋊₄D₅ = C₂₀.C₂⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80	4	(C2xC4oD4):4D5	320,1494
(C₂×C₄○D₄)⋊₅D₅ = C₁₀.₁₀₄2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):5D5	320,1496
(C₂×C₄○D₄)⋊₆D₅ = (C₂×C₂₀)⋊₁₅D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80		(C2xC4oD4):6D5	320,1500
(C₂×C₄○D₄)⋊₇D₅ = C₁₀.₁₄₅2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80		(C2xC4oD4):7D5	320,1501
(C₂×C₄○D₄)⋊₈D₅ = C₁₀.₁₄₆2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80		(C2xC4oD4):8D5	320,1502
(C₂×C₄○D₄)⋊₉D₅ = C₁₀.₁₀₇2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):9D5	320,1503
(C₂×C₄○D₄)⋊₁₀D₅ = (C₂×C₂₀)⋊₁₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):10D5	320,1504
(C₂×C₄○D₄)⋊₁₁D₅ = C₁₀.₁₄₇2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):11D5	320,1505
(C₂×C₄○D₄)⋊₁₂D₅ = C₁₀.₁₄₈2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):12D5	320,1506
(C₂×C₄○D₄)⋊₁₃D₅ = C₂×D₄⋊₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80		(C2xC4oD4):13D5	320,1619
(C₂×C₄○D₄)⋊₁₄D₅ = C₂×D₄.₁₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4):14D5	320,1620
(C₂×C₄○D₄)⋊₁₅D₅ = C₁₀.C₂⁵	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80	4	(C2xC4oD4):15D5	320,1621

Non-split extensions G=N.Q with N=C₂×C₄○D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄○D₄).₁D₅ = C₄○D₄⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4).1D5	320,859
(C₂×C₄○D₄).₂D₅ = C₂₀.(C₂×D₄)	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4).2D5	320,860
(C₂×C₄○D₄).₃D₅ = (D₄×C₁₀).₂₄C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4).3D5	320,861
(C₂×C₄○D₄).₄D₅ = C₂×D₄⋊₂Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80		(C2xC4oD4).4D5	320,862
(C₂×C₄○D₄).₅D₅ = (D₄×C₁₀)⋊₂₁C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80	4	(C2xC4oD4).5D5	320,863
(C₂×C₄○D₄).₆D₅ = (D₄×C₁₀).₂₉C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80	4	(C2xC4oD4).6D5	320,864
(C₂×C₄○D₄).₇D₅ = (C₅×D₄).₃₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4).7D5	320,866
(C₂×C₄○D₄).₈D₅ = (D₄×C₁₀)⋊₂₂C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80	4	(C2xC4oD4).8D5	320,867
(C₂×C₄○D₄).₉D₅ = C₂₀.₇₆C₂⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	80	4	(C2xC4oD4).9D5	320,1491
(C₂×C₄○D₄).₁₀D₅ = C₂×D₄.₉D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4).10D5	320,1495
(C₂×C₄○D₄).₁₁D₅ = C₁₀.₁₀₅2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4).11D5	320,1497
(C₂×C₄○D₄).₁₂D₅ = C₁₀.₁₀₆2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₄○D₄	160		(C2xC4oD4).12D5	320,1499
(C₂×C₄○D₄).₁₃D₅ = C₂×D₄.Dic₅	φ: trivial image	160		(C2xC4oD4).13D5	320,1490
(C₂×C₄○D₄).₁₄D₅ = C₄○D₄×Dic₅	φ: trivial image	160		(C2xC4oD4).14D5	320,1498

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