Extensions 1→N→G→Q→1 with N=C₂²xDic₃ and Q=D₅

Direct product G=NxQ with N=C₂²xDic₃ and Q=D₅

		d	ρ	Label	ID
C₂²xD₅xDic₃		240		C2^2xD5xDic3	480,1112

Semidirect products G=N:Q with N=C₂²xDic₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xDic₃):₁D₅ = C₂xD₁₀:Dic₃	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	240		(C2^2xDic3):1D5	480,611
(C₂²xDic₃):₂D₅ = (C₂xC₃₀).D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	240		(C2^2xDic3):2D5	480,612
(C₂²xDic₃):₃D₅ = C₂xD₃₀:₄C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	240		(C2^2xDic3):3D5	480,616
(C₂²xDic₃):₄D₅ = C₁₀.(C₂xD₁₂)	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	240		(C2^2xDic3):4D5	480,618
(C₂²xDic₃):₅D₅ = Dic₃xC₅:D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	240		(C2^2xDic3):5D5	480,629
(C₂²xDic₃):₆D₅ = C₁₅:₂₈(C₄xD₄)	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	240		(C2^2xDic3):6D5	480,632
(C₂²xDic₃):₇D₅ = (C₂xC₆):D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	240		(C2^2xDic3):7D5	480,645
(C₂²xDic₃):₈D₅ = C₂xDic₅.D₆	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	240		(C2^2xDic3):8D5	480,1113
(C₂²xDic₃):₉D₅ = C₂²xC₃:D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	240		(C2^2xDic3):9D5	480,1119
(C₂²xDic₃):₁₀D₅ = C₂²xD₃₀.C₂	φ: trivial image	240		(C2^2xDic3):10D5	480,1117

Non-split extensions G=N.Q with N=C₂²xDic₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xDic₃).₁D₅ = C₃₀.₂₄C₄²	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	480		(C2^2xDic3).1D5	480,70
(C₂²xDic₃).₂D₅ = C₂³.₂₆(S₃xD₅)	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	240		(C2^2xDic3).2D5	480,605
(C₂²xDic₃).₃D₅ = C₂xC₃₀.Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	480		(C2^2xDic3).3D5	480,617
(C₂²xDic₃).₄D₅ = C₂xDic₁₅:₅C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	480		(C2^2xDic3).4D5	480,620
(C₂²xDic₃).₅D₅ = C₂xC₆.Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	480		(C2^2xDic3).5D5	480,621
(C₂²xDic₃).₆D₅ = (C₂xC₁₀):₈Dic₆	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	240		(C2^2xDic3).6D5	480,651
(C₂²xDic₃).₇D₅ = C₂²xC₁₅:Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂²xDic₃	480		(C2^2xDic3).7D5	480,1121
(C₂²xDic₃).₈D₅ = C₂xDic₃xDic₅	φ: trivial image	480		(C2^2xDic3).8D5	480,603

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