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

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

		d	ρ	Label	ID
C₂×C₄×D₅		40		C2xC4xD5	80,36

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁D₅ = D₁₀⋊C₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄	40		(C2xC4):1D5	80,14
(C₂×C₄)⋊₂D₅ = C₂×D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄	40		(C2xC4):2D5	80,37
(C₂×C₄)⋊₃D₅ = C₄○D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄	40	2	(C2xC4):3D5	80,38

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁D₅ = C₁₀.D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄	80		(C2xC4).1D5	80,12
(C₂×C₄).₂D₅ = C₄.Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄	40	2	(C2xC4).2D5	80,10
(C₂×C₄).₃D₅ = C₄⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄	80		(C2xC4).3D5	80,13
(C₂×C₄).₄D₅ = C₂×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₄	80		(C2xC4).4D5	80,35
(C₂×C₄).₅D₅ = C₂×C₅⋊₂C₈	central extension (φ=1)	80		(C2xC4).5D5	80,9
(C₂×C₄).₆D₅ = C₄×Dic₅	central extension (φ=1)	80		(C2xC4).6D5	80,11

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