Extensions 1→N→G→Q→1 with N=C₂xC₃:D₄ and Q=D₅

Direct product G=NxQ with N=C₂xC₃:D₄ and Q=D₅

		d	ρ	Label	ID
C₂xD₅xC₃:D₄		120		C2xD5xC3:D4	480,1122

Semidirect products G=N:Q with N=C₂xC₃:D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:D₄):₁D₅ = (C₆xD₅):D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4):1D5	480,625
(C₂xC₃:D₄):₂D₅ = D₃₀:₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4):2D5	480,633
(C₂xC₃:D₄):₃D₅ = Dic₁₅:₄D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4):3D5	480,634
(C₂xC₃:D₄):₄D₅ = (C₂xC₃₀):D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	120		(C2xC3:D4):4D5	480,639
(C₂xC₃:D₄):₅D₅ = (S₃xC₁₀):D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4):5D5	480,641
(C₂xC₃:D₄):₆D₅ = (C₂xC₁₀):₄D₁₂	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4):6D5	480,642
(C₂xC₃:D₄):₇D₅ = Dic₁₅:₅D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4):7D5	480,643
(C₂xC₃:D₄):₈D₅ = Dic₁₅:₁₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4):8D5	480,647
(C₂xC₃:D₄):₉D₅ = D₃₀:₁₉D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	120		(C2xC3:D4):9D5	480,649
(C₂xC₃:D₄):₁₀D₅ = D₃₀:₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	120		(C2xC3:D4):10D5	480,653
(C₂xC₃:D₄):₁₁D₅ = C₂xC₃₀.C₂³	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4):11D5	480,1114
(C₂xC₃:D₄):₁₂D₅ = C₂xD₁₀:D₆	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	120		(C2xC3:D4):12D5	480,1124
(C₂xC₃:D₄):₁₃D₅ = C₁₅:2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	120	4	(C2xC3:D4):13D5	480,1125
(C₂xC₃:D₄):₁₄D₅ = C₂xDic₃.D₁₀	φ: trivial image	240		(C2xC3:D4):14D5	480,1116

Non-split extensions G=N.Q with N=C₂xC₃:D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃:D₄).₁D₅ = C₁₅:₈(C₂³:C₄)	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	120	4	(C2xC3:D4).1D5	480,72
(C₂xC₃:D₄).₂D₅ = C₂³.D₅:S₃	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4).2D5	480,601
(C₂xC₃:D₄).₃D₅ = C₃₀.(C₂xD₄)	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4).3D5	480,615
(C₂xC₃:D₄).₄D₅ = (C₂xC₁₀).D₁₂	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4).4D5	480,619
(C₂xC₃:D₄).₅D₅ = (S₃xC₁₀).D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4).5D5	480,631
(C₂xC₃:D₄).₆D₅ = Dic₁₅:₁₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂xC₃:D₄	240		(C2xC3:D4).6D5	480,636
(C₂xC₃:D₄).₇D₅ = Dic₅xC₃:D₄	φ: trivial image	240		(C2xC3:D4).7D5	480,627

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