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

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

		d	ρ	Label	ID
C₂×D₄×D₅		40		C2xD4xD5	160,217

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

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

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

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

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