Extensions 1→N→G→Q→1 with N=D₄×C₁₀ and Q=S₃

Direct product G=N×Q with N=D₄×C₁₀ and Q=S₃

		d	ρ	Label	ID
S₃×D₄×C₁₀		120		S3xD4xC10	480,1154

Semidirect products G=N:Q with N=D₄×C₁₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₀)⋊₁S₃ = C₂×D₄⋊D₁₅	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):1S3	480,896
(D₄×C₁₀)⋊₂S₃ = D₄.D₃₀	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10):2S3	480,897
(D₄×C₁₀)⋊₃S₃ = C₆₀⋊₂D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):3S3	480,903
(D₄×C₁₀)⋊₄S₃ = C₆₀⋊₃D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):4S3	480,905
(D₄×C₁₀)⋊₅S₃ = C₂×D₄×D₁₅	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	120		(D4xC10):5S3	480,1169
(D₄×C₁₀)⋊₆S₃ = C₂×D₄⋊₂D₁₅	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):6S3	480,1170
(D₄×C₁₀)⋊₇S₃ = D₄⋊₆D₃₀	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10):7S3	480,1171
(D₄×C₁₀)⋊₈S₃ = C₁₀×D₄⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):8S3	480,810
(D₄×C₁₀)⋊₉S₃ = C₅×D₁₂⋊₆C₂²	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10):9S3	480,811
(D₄×C₁₀)⋊₁₀S₃ = C₅×C₂³⋊₂D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	120		(D4xC10):10S3	480,816
(D₄×C₁₀)⋊₁₁S₃ = C₅×D₆⋊₃D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):11S3	480,817
(D₄×C₁₀)⋊₁₂S₃ = C₅×C₂³.₁₄D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):12S3	480,818
(D₄×C₁₀)⋊₁₃S₃ = C₅×C₁₂⋊₃D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):13S3	480,819
(D₄×C₁₀)⋊₁₄S₃ = D₃₀⋊₁₇D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	120		(D4xC10):14S3	480,902
(D₄×C₁₀)⋊₁₅S₃ = Dic₁₅⋊₁₂D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):15S3	480,904
(D₄×C₁₀)⋊₁₆S₃ = C₅×D₄⋊₆D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10):16S3	480,1156
(D₄×C₁₀)⋊₁₇S₃ = C₁₀×D₄⋊₂S₃	φ: trivial image	240		(D4xC10):17S3	480,1155

Non-split extensions G=N.Q with N=D₄×C₁₀ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₀).₁S₃ = D₄⋊Dic₁₅	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).1S3	480,192
(D₄×C₁₀).₂S₃ = C₆₀.₈D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10).2S3	480,193
(D₄×C₁₀).₃S₃ = C₂×D₄.D₁₅	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).3S3	480,898
(D₄×C₁₀).₄S₃ = D₄×Dic₁₅	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).4S3	480,899
(D₄×C₁₀).₅S₃ = C₆₀.₁₇D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).5S3	480,901
(D₄×C₁₀).₆S₃ = C₅×D₄⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).6S3	480,151
(D₄×C₁₀).₇S₃ = C₅×C₁₂.D₄	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10).7S3	480,152
(D₄×C₁₀).₈S₃ = C₅×C₂³.₇D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10).8S3	480,153
(D₄×C₁₀).₉S₃ = C₂³.₇D₃₀	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10).9S3	480,194
(D₄×C₁₀).₁₀S₃ = C₁₀×D₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).10S3	480,812
(D₄×C₁₀).₁₁S₃ = C₅×C₂³.₂₃D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).11S3	480,814
(D₄×C₁₀).₁₂S₃ = C₅×C₂³.₁₂D₆	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).12S3	480,815
(D₄×C₁₀).₁₃S₃ = C₂³.₂₂D₃₀	φ: S₃/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).13S3	480,900
(D₄×C₁₀).₁₄S₃ = C₅×D₄×Dic₃	φ: trivial image	240		(D4xC10).14S3	480,813

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