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

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

		d	ρ	Label	ID
C₆×D₂₀		120		C6xD20	240,157

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₂₀)⋊₁C₂ = C₃⋊D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₀	120	4+	(C3xD20):1C2	240,14
(C₃×D₂₀)⋊₂C₂ = D₂₀⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₀	120	4-	(C3xD20):2C2	240,126
(C₃×D₂₀)⋊₃C₂ = S₃×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₀	60	4+	(C3xD20):3C2	240,137
(C₃×D₂₀)⋊₄C₂ = C₁₅⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₀	120	4	(C3xD20):4C2	240,13
(C₃×D₂₀)⋊₅C₂ = D₂₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₀	120	4	(C3xD20):5C2	240,127
(C₃×D₂₀)⋊₆C₂ = C₂₀⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₀	60	4	(C3xD20):6C2	240,138
(C₃×D₂₀)⋊₇C₂ = C₃×D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₀	120	2	(C3xD20):7C2	240,36
(C₃×D₂₀)⋊₈C₂ = C₃×D₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₀	120	4	(C3xD20):8C2	240,44
(C₃×D₂₀)⋊₉C₂ = C₃×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₀	60	4	(C3xD20):9C2	240,159
(C₃×D₂₀)⋊₁₀C₂ = C₃×Q₈⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₀	120	4	(C3xD20):10C2	240,162
(C₃×D₂₀)⋊₁₁C₂ = C₃×C₄○D₂₀	φ: trivial image	120	2	(C3xD20):11C2	240,158

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₂₀).₁C₂ = C₆.D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₀	120	4-	(C3xD20).1C2	240,18
(C₃×D₂₀).₂C₂ = C₃₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₀	120	4	(C3xD20).2C2	240,16
(C₃×D₂₀).₃C₂ = C₃×C₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₀	120	2	(C3xD20).3C2	240,35
(C₃×D₂₀).₄C₂ = C₃×Q₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₂₀	120	4	(C3xD20).4C2	240,46

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