Extensions 1→N→G→Q→1 with N=C₂×Dic₃ and Q=Dic₅

Direct product G=N×Q with N=C₂×Dic₃ and Q=Dic₅

		d	ρ	Label	ID
C₂×Dic₃×Dic₅		480		C2xDic3xDic5	480,603

Semidirect products G=N:Q with N=C₂×Dic₃ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊Dic₅ = C₁₅⋊₈(C₂³⋊C₄)	φ: Dic₅/C₅ → C₄ ⊆ Out C₂×Dic₃	120	4	(C2xDic3):Dic5	480,72
(C₂×Dic₃)⋊₂Dic₅ = C₃₀.₂₄C₄²	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Dic₃	480		(C2xDic3):2Dic5	480,70
(C₂×Dic₃)⋊₃Dic₅ = C₂³.₂₆(S₃×D₅)	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Dic₃	240		(C2xDic3):3Dic5	480,605
(C₂×Dic₃)⋊₄Dic₅ = C₂×C₆.Dic₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Dic₃	480		(C2xDic3):4Dic5	480,621

Non-split extensions G=N.Q with N=C₂×Dic₃ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).Dic₅ = C₆₀.₅₄D₄	φ: Dic₅/C₅ → C₄ ⊆ Out C₂×Dic₃	240	4	(C2xDic3).Dic5	480,38
(C₂×Dic₃).₂Dic₅ = C₃₀.₂₂C₄²	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Dic₃	480		(C2xDic3).2Dic5	480,29
(C₂×Dic₃).₃Dic₅ = C₆₀.₉₄D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Dic₃	240		(C2xDic3).3Dic5	480,32
(C₂×Dic₃).₄Dic₅ = C₆₀.₁₅Q₈	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Dic₃	480		(C2xDic3).4Dic5	480,60
(C₂×Dic₃).₅Dic₅ = S₃×C₄.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Dic₃	120	4	(C2xDic3).5Dic5	480,363
(C₂×Dic₃).₆Dic₅ = C₂×D₆.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×Dic₃	240		(C2xDic3).6Dic5	480,370
(C₂×Dic₃).₇Dic₅ = Dic₃×C₅⋊₂C₈	φ: trivial image	480		(C2xDic3).7Dic5	480,26
(C₂×Dic₃).₈Dic₅ = C₂×S₃×C₅⋊₂C₈	φ: trivial image	240		(C2xDic3).8Dic5	480,361

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