Extensions 1→N→G→Q→1 with N=D₅xC₁₂ and Q=C₄

Direct product G=NxQ with N=D₅xC₁₂ and Q=C₄

		d	ρ	Label	ID
D₅xC₄xC₁₂		240		D5xC4xC12	480,664

Semidirect products G=N:Q with N=D₅xC₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₁₂):₁C₄ = (C₄xD₅):Dic₃	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240		(D5xC12):1C4	480,434
(D₅xC₁₂):₂C₄ = D₅xC₄:Dic₃	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240		(D5xC12):2C4	480,488
(D₅xC₁₂):₃C₄ = (D₅xC₁₂):C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240		(D5xC12):3C4	480,433
(D₅xC₁₂):₄C₄ = C₄xD₅xDic₃	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240		(D5xC12):4C4	480,467
(D₅xC₁₂):₅C₄ = C₃xD₅xC₄:C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240		(D5xC12):5C4	480,684
(D₅xC₁₂):₆C₄ = C₃xC₄:C₄:₇D₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240		(D5xC12):6C4	480,685
(D₅xC₁₂):₇C₄ = C₂xC₆₀:C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	120		(D5xC12):7C4	480,1064
(D₅xC₁₂):₈C₄ = C₃xC₄²:D₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240		(D5xC12):8C4	480,665
(D₅xC₁₂):₉C₄ = C₂xC₄xC₃:F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	120		(D5xC12):9C4	480,1063
(D₅xC₁₂):₁₀C₄ = (C₂xC₁₂):₆F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12):10C4	480,1065
(D₅xC₁₂):₁₁C₄ = C₆xC₄:F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	120		(D5xC12):11C4	480,1051
(D₅xC₁₂):₁₂C₄ = C₃xD₁₀.C₂³	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12):12C4	480,1052
(D₅xC₁₂):₁₃C₄ = F₅xC₂xC₁₂	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	120		(D5xC12):13C4	480,1050

Non-split extensions G=N.Q with N=D₅xC₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₁₂).₁C₄ = D₅xC₄.Dic₃	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12).1C4	480,358
(D₅xC₁₂).₂C₄ = D₅xC₃:C₁₆	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240	4	(D5xC12).2C4	480,7
(D₅xC₁₂).₃C₄ = C₄₀.₅₁D₆	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240	4	(D5xC12).3C4	480,10
(D₅xC₁₂).₄C₄ = C₂xD₅xC₃:C₈	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240		(D5xC12).4C4	480,357
(D₅xC₁₂).₅C₄ = C₂xC₂₀.₃₂D₆	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240		(D5xC12).5C4	480,369
(D₅xC₁₂).₆C₄ = C₃xD₅xM₄(2)	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12).6C4	480,699
(D₅xC₁₂).₇C₄ = C₂xC₁₂.F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240		(D5xC12).7C4	480,1061
(D₅xC₁₂).₈C₄ = C₃xC₈₀:C₂	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240	2	(D5xC12).8C4	480,76
(D₅xC₁₂).₉C₄ = C₆xC₈:D₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240		(D5xC12).9C4	480,693
(D₅xC₁₂).₁₀C₄ = C₂₄.F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240	4	(D5xC12).10C4	480,294
(D₅xC₁₂).₁₁C₄ = C₁₂₀.C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240	4	(D5xC12).11C4	480,295
(D₅xC₁₂).₁₂C₄ = C₂xC₆₀.C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240		(D5xC12).12C4	480,1060
(D₅xC₁₂).₁₃C₄ = C₆₀.₅₉(C₂xC₄)	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12).13C4	480,1062
(D₅xC₁₂).₁₄C₄ = C₆xC₄.F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240		(D5xC12).14C4	480,1048
(D₅xC₁₂).₁₅C₄ = C₃xD₅:M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	120	4	(D5xC12).15C4	480,1049
(D₅xC₁₂).₁₆C₄ = C₃xD₅:C₁₆	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240	4	(D5xC12).16C4	480,269
(D₅xC₁₂).₁₇C₄ = C₃xC₈.F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240	4	(D5xC12).17C4	480,270
(D₅xC₁₂).₁₈C₄ = C₆xD₅:C₈	φ: C₄/C₂ → C₂ ⊆ Out D₅xC₁₂	240		(D5xC12).18C4	480,1047
(D₅xC₁₂).₁₉C₄ = D₅xC₄₈	φ: trivial image	240	2	(D5xC12).19C4	480,75
(D₅xC₁₂).₂₀C₄ = D₅xC₂xC₂₄	φ: trivial image	240		(D5xC12).20C4	480,692

Extensions 1→N→G→Q→1 with N=D5xC12 and Q=C4

Extensions 1→N→G→Q→1 with N=D₅xC₁₂ and Q=C₄