Extensions 1→N→G→Q→1 with N=S₃xC₂₀ and Q=C₄

Direct product G=NxQ with N=S₃xC₂₀ and Q=C₄

		d	ρ	Label	ID
S₃xC₄xC₂₀		240		S3xC4xC20	480,750

Semidirect products G=N:Q with N=S₃xC₂₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂₀):₁C₄ = C₄:F₅:₃S₃	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂₀	120	8	(S3xC20):1C4	480,983
(S₃xC₂₀):₂C₄ = S₃xC₄:F₅	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂₀	60	8	(S3xC20):2C4	480,996
(S₃xC₂₀):₃C₄ = (C₄xS₃):F₅	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂₀	120	8	(S3xC20):3C4	480,985
(S₃xC₂₀):₄C₄ = C₄xS₃xF₅	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂₀	60	8	(S3xC20):4C4	480,994
(S₃xC₂₀):₅C₄ = (S₃xC₂₀):₅C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂₀	240		(S3xC20):5C4	480,414
(S₃xC₂₀):₆C₄ = S₃xC₄:Dic₅	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂₀	240		(S3xC20):6C4	480,502
(S₃xC₂₀):₇C₄ = (S₃xC₂₀):₇C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂₀	240		(S3xC20):7C4	480,447
(S₃xC₂₀):₈C₄ = C₄xS₃xDic₅	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂₀	240		(S3xC20):8C4	480,473
(S₃xC₂₀):₉C₄ = C₅xS₃xC₄:C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂₀	240		(S3xC20):9C4	480,770
(S₃xC₂₀):₁₀C₄ = C₅xC₄:C₄:₇S₃	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂₀	240		(S3xC20):10C4	480,771
(S₃xC₂₀):₁₁C₄ = C₅xC₄²:₂S₃	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂₀	240		(S3xC20):11C4	480,751

Non-split extensions G=N.Q with N=S₃xC₂₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂₀).₁C₄ = S₃xC₄.F₅	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂₀	120	8	(S3xC20).1C4	480,988
(S₃xC₂₀).₂C₄ = D₁₅:M₄(2)	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂₀	120	8	(S3xC20).2C4	480,991
(S₃xC₂₀).₃C₄ = S₃xC₅:C₁₆	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂₀	240	8	(S3xC20).3C4	480,239
(S₃xC₂₀).₄C₄ = C₁₅:M₅(2)	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂₀	240	8	(S3xC20).4C4	480,241
(S₃xC₂₀).₅C₄ = S₃xD₅:C₈	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂₀	120	8	(S3xC20).5C4	480,986
(S₃xC₂₀).₆C₄ = C₅:C₈:D₆	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂₀	120	8	(S3xC20).6C4	480,993
(S₃xC₂₀).₇C₄ = S₃xC₄.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂₀	120	4	(S3xC20).7C4	480,363
(S₃xC₂₀).₈C₄ = S₃xC₅:₂C₁₆	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂₀	240	4	(S3xC20).8C4	480,8
(S₃xC₂₀).₉C₄ = C₄₀.₅₂D₆	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂₀	240	4	(S3xC20).9C4	480,11
(S₃xC₂₀).₁₀C₄ = C₂xS₃xC₅:₂C₈	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂₀	240		(S3xC20).10C4	480,361
(S₃xC₂₀).₁₁C₄ = C₂xD₆.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂₀	240		(S3xC20).11C4	480,370
(S₃xC₂₀).₁₂C₄ = C₅xS₃xM₄(2)	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂₀	120	4	(S3xC20).12C4	480,785
(S₃xC₂₀).₁₃C₄ = C₅xD₆.C₈	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂₀	240	2	(S3xC20).13C4	480,117
(S₃xC₂₀).₁₄C₄ = C₁₀xC₈:S₃	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂₀	240		(S3xC20).14C4	480,779
(S₃xC₂₀).₁₅C₄ = S₃xC₈₀	φ: trivial image	240	2	(S3xC20).15C4	480,116
(S₃xC₂₀).₁₆C₄ = S₃xC₂xC₄₀	φ: trivial image	240		(S3xC20).16C4	480,778

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