Extensions 1→N→G→Q→1 with N=D₄xC₁₀ and Q=C₆

Direct product G=NxQ with N=D₄xC₁₀ and Q=C₆

		d	ρ	Label	ID
D₄xC₂xC₃₀		240		D4xC2xC30	480,1181

Semidirect products G=N:Q with N=D₄xC₁₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₁₀):₁C₆ = C₆xD₄:D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):1C6	480,724
(D₄xC₁₀):₂C₆ = C₃xD₄.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10):2C6	480,725
(D₄xC₁₀):₃C₆ = C₃xC₂₀:₂D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):3C6	480,731
(D₄xC₁₀):₄C₆ = C₃xC₂₀:D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):4C6	480,733
(D₄xC₁₀):₅C₆ = C₆xD₄xD₅	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	120		(D4xC10):5C6	480,1139
(D₄xC₁₀):₆C₆ = C₆xD₄:₂D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):6C6	480,1140
(D₄xC₁₀):₇C₆ = C₃xD₄:₆D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10):7C6	480,1141
(D₄xC₁₀):₈C₆ = C₃xC₂³:D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	120		(D4xC10):8C6	480,730
(D₄xC₁₀):₉C₆ = C₃xDic₅:D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):9C6	480,732
(D₄xC₁₀):₁₀C₆ = C₁₅xC₂²wrC₂	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	120		(D4xC10):10C6	480,925
(D₄xC₁₀):₁₁C₆ = C₁₅xC₄:D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):11C6	480,926
(D₄xC₁₀):₁₂C₆ = C₁₅xC₄:₁D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):12C6	480,932
(D₄xC₁₀):₁₃C₆ = D₈xC₃₀	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10):13C6	480,937
(D₄xC₁₀):₁₄C₆ = C₁₅xC₈:C₂²	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10):14C6	480,941
(D₄xC₁₀):₁₅C₆ = C₁₅x2₊¹⁺⁴	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10):15C6	480,1184
(D₄xC₁₀):₁₆C₆ = C₄oD₄xC₃₀	φ: trivial image	240		(D4xC10):16C6	480,1183

Non-split extensions G=N.Q with N=D₄xC₁₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₁₀).₁C₆ = C₃xD₄:Dic₅	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).1C6	480,110
(D₄xC₁₀).₂C₆ = C₃xC₂₀.D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10).2C6	480,111
(D₄xC₁₀).₃C₆ = C₆xD₄.D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).3C6	480,726
(D₄xC₁₀).₄C₆ = C₃xD₄xDic₅	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).4C6	480,727
(D₄xC₁₀).₅C₆ = C₃xC₂₀.₁₇D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).5C6	480,729
(D₄xC₁₀).₆C₆ = C₃xC₂³:Dic₅	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10).6C6	480,112
(D₄xC₁₀).₇C₆ = C₁₅xC₂³:C₄	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10).7C6	480,202
(D₄xC₁₀).₈C₆ = C₁₅xC₄.D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	120	4	(D4xC10).8C6	480,203
(D₄xC₁₀).₉C₆ = C₁₅xD₄:C₄	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).9C6	480,205
(D₄xC₁₀).₁₀C₆ = C₃xC₂³.₁₈D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).10C6	480,728
(D₄xC₁₀).₁₁C₆ = C₁₅xC₂².D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).11C6	480,928
(D₄xC₁₀).₁₂C₆ = C₁₅xC₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).12C6	480,929
(D₄xC₁₀).₁₃C₆ = SD₁₆xC₃₀	φ: C₆/C₃ → C₂ ⊆ Out D₄xC₁₀	240		(D4xC10).13C6	480,938
(D₄xC₁₀).₁₄C₆ = D₄xC₆₀	φ: trivial image	240		(D4xC10).14C6	480,923

׿

x

:

Z

F

o

wr

Q

<