Extensions 1→N→G→Q→1 with N=C₂²×Dic₃ and Q=D₅

Direct product G=N×Q with N=C₂²×Dic₃ and Q=D₅

		d	ρ	Label	ID
C₂²×D₅×Dic₃		240		C2^2xD5xDic3	480,1112

Semidirect products G=N:Q with N=C₂²×Dic₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Dic₃)⋊₁D₅ = C₂×D₁₀⋊Dic₃	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):1D5	480,611
(C₂²×Dic₃)⋊₂D₅ = (C₂×C₃₀).D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):2D5	480,612
(C₂²×Dic₃)⋊₃D₅ = C₂×D₃₀⋊₄C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):3D5	480,616
(C₂²×Dic₃)⋊₄D₅ = C₁₀.(C₂×D₁₂)	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):4D5	480,618
(C₂²×Dic₃)⋊₅D₅ = Dic₃×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):5D5	480,629
(C₂²×Dic₃)⋊₆D₅ = C₁₅⋊₂₈(C₄×D₄)	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):6D5	480,632
(C₂²×Dic₃)⋊₇D₅ = (C₂×C₆)⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):7D5	480,645
(C₂²×Dic₃)⋊₈D₅ = C₂×Dic₅.D₆	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):8D5	480,1113
(C₂²×Dic₃)⋊₉D₅ = C₂²×C₃⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):9D5	480,1119
(C₂²×Dic₃)⋊₁₀D₅ = C₂²×D₃₀.C₂	φ: trivial image	240		(C2^2xDic3):10D5	480,1117

Non-split extensions G=N.Q with N=C₂²×Dic₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Dic₃).₁D₅ = C₃₀.₂₄C₄²	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	480		(C2^2xDic3).1D5	480,70
(C₂²×Dic₃).₂D₅ = C₂³.₂₆(S₃×D₅)	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3).2D5	480,605
(C₂²×Dic₃).₃D₅ = C₂×C₃₀.Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	480		(C2^2xDic3).3D5	480,617
(C₂²×Dic₃).₄D₅ = C₂×Dic₁₅⋊₅C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	480		(C2^2xDic3).4D5	480,620
(C₂²×Dic₃).₅D₅ = C₂×C₆.Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	480		(C2^2xDic3).5D5	480,621
(C₂²×Dic₃).₆D₅ = (C₂×C₁₀)⋊₈Dic₆	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3).6D5	480,651
(C₂²×Dic₃).₇D₅ = C₂²×C₁₅⋊Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Dic₃	480		(C2^2xDic3).7D5	480,1121
(C₂²×Dic₃).₈D₅ = C₂×Dic₃×Dic₅	φ: trivial image	480		(C2^2xDic3).8D5	480,603

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