Extensions 1→N→G→Q→1 with N=C₃×C₄○D₂₀ and Q=C₂

Direct product G=N×Q with N=C₃×C₄○D₂₀ and Q=C₂

		d	ρ	Label	ID
C₆×C₄○D₂₀		240		C6xC4oD20	480,1138

Semidirect products G=N:Q with N=C₃×C₄○D₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄○D₂₀)⋊₁C₂ = D₂₀⋊₂₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	120	4	(C3xC4oD20):1C2	480,375
(C₃×C₄○D₂₀)⋊₂C₂ = D₂₀.₃₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	240	4	(C3xC4oD20):2C2	480,1076
(C₃×C₄○D₂₀)⋊₃C₂ = D₂₀⋊₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	120	4	(C3xC4oD20):3C2	480,1094
(C₃×C₄○D₂₀)⋊₄C₂ = D₂₀.₃₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	240	4	(C3xC4oD20):4C2	480,387
(C₃×C₄○D₂₀)⋊₅C₂ = S₃×C₄○D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	120	4	(C3xC4oD20):5C2	480,1091
(C₃×C₄○D₂₀)⋊₆C₂ = D₂₀⋊₁₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	120	4+	(C3xC4oD20):6C2	480,377
(C₃×C₄○D₂₀)⋊₇C₂ = D₂₀.₃₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	240	4-	(C3xC4oD20):7C2	480,1077
(C₃×C₄○D₂₀)⋊₈C₂ = D₂₀⋊₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	120	4+	(C3xC4oD20):8C2	480,1095
(C₃×C₄○D₂₀)⋊₉C₂ = D₂₀.₃₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	240	4	(C3xC4oD20):9C2	480,373
(C₃×C₄○D₂₀)⋊₁₀C₂ = D₂₀⋊₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	120	4	(C3xC4oD20):10C2	480,1092
(C₃×C₄○D₂₀)⋊₁₁C₂ = C₃×D₄₀⋊₇C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	240	2	(C3xC4oD20):11C2	480,697
(C₃×C₄○D₂₀)⋊₁₂C₂ = C₃×C₈⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	120	4	(C3xC4oD20):12C2	480,701
(C₃×C₄○D₂₀)⋊₁₃C₂ = C₃×D₄.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	120	4	(C3xC4oD20):13C2	480,725
(C₃×C₄○D₂₀)⋊₁₄C₂ = C₃×D₄.₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	240	4	(C3xC4oD20):14C2	480,743
(C₃×C₄○D₂₀)⋊₁₅C₂ = C₃×D₄⋊₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	120	4	(C3xC4oD20):15C2	480,1141
(C₃×C₄○D₂₀)⋊₁₆C₂ = C₃×Q₈.₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	240	4	(C3xC4oD20):16C2	480,1144
(C₃×C₄○D₂₀)⋊₁₇C₂ = C₃×D₅×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	120	4	(C3xC4oD20):17C2	480,1145
(C₃×C₄○D₂₀)⋊₁₈C₂ = C₃×D₄⋊₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	120	4	(C3xC4oD20):18C2	480,1146
(C₃×C₄○D₂₀)⋊₁₉C₂ = C₃×D₄.₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	240	4	(C3xC4oD20):19C2	480,1147

Non-split extensions G=N.Q with N=C₃×C₄○D₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄○D₂₀).₁C₂ = D₂₀.₃₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	240	4	(C3xC4oD20).1C2	480,383
(C₃×C₄○D₂₀).₂C₂ = C₆₀.₉₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	120	4	(C3xC4oD20).2C2	480,53
(C₃×C₄○D₂₀).₃C₂ = D₂₀.₃Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	240	4	(C3xC4oD20).3C2	480,359
(C₃×C₄○D₂₀).₄C₂ = C₆₀.₆₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	240	4-	(C3xC4oD20).4C2	480,389
(C₃×C₄○D₂₀).₅C₂ = C₆₀.₉₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	120	4	(C3xC4oD20).5C2	480,52
(C₃×C₄○D₂₀).₆C₂ = D₂₀.₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	240	4	(C3xC4oD20).6C2	480,360
(C₃×C₄○D₂₀).₇C₂ = C₃×D₂₀⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	120	2	(C3xC4oD20).7C2	480,83
(C₃×C₄○D₂₀).₈C₂ = C₃×D₂₀⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	120	4	(C3xC4oD20).8C2	480,103
(C₃×C₄○D₂₀).₉C₂ = C₃×D₂₀.₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	240	4	(C3xC4oD20).9C2	480,700
(C₃×C₄○D₂₀).₁₀C₂ = C₃×C₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	240	4	(C3xC4oD20).10C2	480,702
(C₃×C₄○D₂₀).₁₁C₂ = C₃×C₂₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₂₀	240	4	(C3xC4oD20).11C2	480,735
(C₃×C₄○D₂₀).₁₂C₂ = C₃×D₂₀.₃C₄	φ: trivial image	240	2	(C3xC4oD20).12C2	480,694

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