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

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

		d	ρ	Label	ID
C₁₂×D₂₀		240		C12xD20	480,666

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₂₀)⋊₁C₄ = D₂₀⋊Dic₃	φ: C₄/C₁ → C₄ ⊆ Out C₃×D₂₀	120	8	(C3xD20):1C4	480,312
(C₃×D₂₀)⋊₂C₄ = D₂₀⋊₂Dic₃	φ: C₄/C₁ → C₄ ⊆ Out C₃×D₂₀	120	8	(C3xD20):2C4	480,315
(C₃×D₂₀)⋊₃C₄ = D₄×C₃⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₃×D₂₀	60	8	(C3xD20):3C4	480,1067
(C₃×D₂₀)⋊₄C₄ = C₃×D₂₀⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₃×D₂₀	120	8	(C3xD20):4C4	480,287
(C₃×D₂₀)⋊₅C₄ = C₃×Q₈⋊₂F₅	φ: C₄/C₁ → C₄ ⊆ Out C₃×D₂₀	120	8	(C3xD20):5C4	480,290
(C₃×D₂₀)⋊₆C₄ = C₃×D₄×F₅	φ: C₄/C₁ → C₄ ⊆ Out C₃×D₂₀	60	8	(C3xD20):6C4	480,1054
(C₃×D₂₀)⋊₇C₄ = C₆.D₄₀	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₂₀	240		(C3xD20):7C4	480,41
(C₃×D₂₀)⋊₈C₄ = C₆₀.₉₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₂₀	120	4	(C3xD20):8C4	480,53
(C₃×D₂₀)⋊₉C₄ = Dic₃×D₂₀	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₂₀	240		(C3xD20):9C4	480,501
(C₃×D₂₀)⋊₁₀C₄ = C₃₀.D₈	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₂₀	240		(C3xD20):10C4	480,40
(C₃×D₂₀)⋊₁₁C₄ = C₆₀.₉₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₂₀	120	4	(C3xD20):11C4	480,52
(C₃×D₂₀)⋊₁₂C₄ = D₂₀⋊₈Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₂₀	240		(C3xD20):12C4	480,510
(C₃×D₂₀)⋊₁₃C₄ = C₃×D₂₀⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₂₀	120	2	(C3xD20):13C4	480,83
(C₃×D₂₀)⋊₁₄C₄ = C₃×D₂₀⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₂₀	240		(C3xD20):14C4	480,99
(C₃×D₂₀)⋊₁₅C₄ = C₃×D₂₀⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₂₀	240		(C3xD20):15C4	480,87
(C₃×D₂₀)⋊₁₆C₄ = C₃×D₂₀⋊₇C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₂₀	120	4	(C3xD20):16C4	480,103
(C₃×D₂₀)⋊₁₇C₄ = C₃×D₂₀⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₂₀	240		(C3xD20):17C4	480,686

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₂₀).₁C₄ = D₂₀.Dic₃	φ: C₄/C₁ → C₄ ⊆ Out C₃×D₂₀	240	8	(C3xD20).1C4	480,1068
(C₃×D₂₀).₂C₄ = C₃×Q₈.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₃×D₂₀	240	8	(C3xD20).2C4	480,1055
(C₃×D₂₀).₃C₄ = D₂₀.₃Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₂₀	240	4	(C3xD20).3C4	480,359
(C₃×D₂₀).₄C₄ = D₂₀.₂Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₂₀	240	4	(C3xD20).4C4	480,360
(C₃×D₂₀).₅C₄ = C₃×D₂₀.₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₃×D₂₀	240	4	(C3xD20).5C4	480,700
(C₃×D₂₀).₆C₄ = C₃×D₂₀.₃C₄	φ: trivial image	240	2	(C3xD20).6C4	480,694

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