Extensions 1→N→G→Q→1 with N=C₂xD₄ and Q=D₅

Direct product G=NxQ with N=C₂xD₄ and Q=D₅

		d	ρ	Label	ID
C₂xD₄xD₅		40		C2xD4xD5	160,217

Semidirect products G=N:Q with N=C₂xD₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄):₁D₅ = C₂xD₄:D₅	φ: D₅/C₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4):1D5	160,152
(C₂xD₄):₂D₅ = D₄.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂xD₄	40	4	(C2xD4):2D5	160,153
(C₂xD₄):₃D₅ = C₂³:D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂xD₄	40		(C2xD4):3D5	160,158
(C₂xD₄):₄D₅ = C₂₀:₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4):4D5	160,159
(C₂xD₄):₅D₅ = Dic₅:D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4):5D5	160,160
(C₂xD₄):₆D₅ = C₂₀:D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4):6D5	160,161
(C₂xD₄):₇D₅ = D₄:₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂xD₄	40	4	(C2xD4):7D5	160,219
(C₂xD₄):₈D₅ = C₂xD₄:₂D₅	φ: trivial image	80		(C2xD4):8D5	160,218

Non-split extensions G=N.Q with N=C₂xD₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄).₁D₅ = D₄:Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4).1D5	160,39
(C₂xD₄).₂D₅ = C₂₀.D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xD₄	40	4	(C2xD4).2D5	160,40
(C₂xD₄).₃D₅ = C₂³:Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂xD₄	40	4	(C2xD4).3D5	160,41
(C₂xD₄).₄D₅ = C₂xD₄.D₅	φ: D₅/C₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4).4D5	160,154
(C₂xD₄).₅D₅ = C₂³.₁₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4).5D5	160,156
(C₂xD₄).₆D₅ = C₂₀.₁₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4).6D5	160,157
(C₂xD₄).₇D₅ = D₄xDic₅	φ: trivial image	80		(C2xD4).7D5	160,155

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