Extensions 1→N→G→Q→1 with N=D₄×C₁₀ and Q=C₆

Direct product G=N×Q with N=D₄×C₁₀ and Q=C₆

		d	ρ	Label	ID
D₄×C₂×C₃₀		240		D4xC2xC30	480,1181

Semidirect products G=N:Q with N=D₄×C₁₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₀)⋊₁C₆ = C₆×D₄⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):1C6	480,724
(D₄×C₁₀)⋊₂C₆ = C₃×D₄.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10):2C6	480,725
(D₄×C₁₀)⋊₃C₆ = C₃×C₂₀⋊₂D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):3C6	480,731
(D₄×C₁₀)⋊₄C₆ = C₃×C₂₀⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):4C6	480,733
(D₄×C₁₀)⋊₅C₆ = C₆×D₄×D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	120		(D4xC10):5C6	480,1139
(D₄×C₁₀)⋊₆C₆ = C₆×D₄⋊₂D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):6C6	480,1140
(D₄×C₁₀)⋊₇C₆ = C₃×D₄⋊₆D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10):7C6	480,1141
(D₄×C₁₀)⋊₈C₆ = C₃×C₂³⋊D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	120		(D4xC10):8C6	480,730
(D₄×C₁₀)⋊₉C₆ = C₃×Dic₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):9C6	480,732
(D₄×C₁₀)⋊₁₀C₆ = C₁₅×C₂²≀C₂	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	120		(D4xC10):10C6	480,925
(D₄×C₁₀)⋊₁₁C₆ = C₁₅×C₄⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):11C6	480,926
(D₄×C₁₀)⋊₁₂C₆ = C₁₅×C₄⋊₁D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):12C6	480,932
(D₄×C₁₀)⋊₁₃C₆ = D₈×C₃₀	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10):13C6	480,937
(D₄×C₁₀)⋊₁₄C₆ = C₁₅×C₈⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10):14C6	480,941
(D₄×C₁₀)⋊₁₅C₆ = C₁₅×2₊¹⁺⁴	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10):15C6	480,1184
(D₄×C₁₀)⋊₁₆C₆ = C₄○D₄×C₃₀	φ: trivial image	240		(D4xC10):16C6	480,1183

Non-split extensions G=N.Q with N=D₄×C₁₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₀).₁C₆ = C₃×D₄⋊Dic₅	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).1C6	480,110
(D₄×C₁₀).₂C₆ = C₃×C₂₀.D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10).2C6	480,111
(D₄×C₁₀).₃C₆ = C₆×D₄.D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).3C6	480,726
(D₄×C₁₀).₄C₆ = C₃×D₄×Dic₅	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).4C6	480,727
(D₄×C₁₀).₅C₆ = C₃×C₂₀.₁₇D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).5C6	480,729
(D₄×C₁₀).₆C₆ = C₃×C₂³⋊Dic₅	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10).6C6	480,112
(D₄×C₁₀).₇C₆ = C₁₅×C₂³⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10).7C6	480,202
(D₄×C₁₀).₈C₆ = C₁₅×C₄.D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	120	4	(D4xC10).8C6	480,203
(D₄×C₁₀).₉C₆ = C₁₅×D₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).9C6	480,205
(D₄×C₁₀).₁₀C₆ = C₃×C₂³.₁₈D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).10C6	480,728
(D₄×C₁₀).₁₁C₆ = C₁₅×C₂².D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).11C6	480,928
(D₄×C₁₀).₁₂C₆ = C₁₅×C₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).12C6	480,929
(D₄×C₁₀).₁₃C₆ = SD₁₆×C₃₀	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₁₀	240		(D4xC10).13C6	480,938
(D₄×C₁₀).₁₄C₆ = D₄×C₆₀	φ: trivial image	240		(D4xC10).14C6	480,923

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