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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅)⋊₁Dic₃ = D₅×A₄⋊C₄	φ: Dic₃/C₂ → S₃ ⊆ Out C₂²×D₅	60	6	(C2^2xD5):1Dic3	480,979
(C₂²×D₅)⋊₂Dic₃ = C₂×A₄⋊F₅	φ: Dic₃/C₂ → S₃ ⊆ Out C₂²×D₅	30	12+	(C2^2xD5):2Dic3	480,1191
(C₂²×D₅)⋊₃Dic₃ = (C₂×C₆).D₂₀	φ: Dic₃/C₃ → C₄ ⊆ Out C₂²×D₅	120	4	(C2^2xD5):3Dic3	480,71
(C₂²×D₅)⋊₄Dic₃ = (C₂×C₆₀)⋊C₄	φ: Dic₃/C₃ → C₄ ⊆ Out C₂²×D₅	120	4	(C2^2xD5):4Dic3	480,304
(C₂²×D₅)⋊₅Dic₃ = C₂×D₁₀⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×D₅	240		(C2^2xD5):5Dic3	480,611
(C₂²×D₅)⋊₆Dic₃ = D₅×C₆.D₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×D₅	120		(C2^2xD5):6Dic3	480,623
(C₂²×D₅)⋊₇Dic₃ = C₂×D₁₀.D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×D₅	120		(C2^2xD5):7Dic3	480,1072
(C₂²×D₅)⋊₈Dic₃ = C₂³×C₃⋊F₅	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×D₅	120		(C2^2xD5):8Dic3	480,1206

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅).₁Dic₃ = C₆₀.₂₈D₄	φ: Dic₃/C₃ → C₄ ⊆ Out C₂²×D₅	120	4	(C2^2xD5).1Dic3	480,34
(C₂²×D₅).₂Dic₃ = C₅⋊(C₁₂.D₄)	φ: Dic₃/C₃ → C₄ ⊆ Out C₂²×D₅	120	4	(C2^2xD5).2Dic3	480,318
(C₂²×D₅).₃Dic₃ = C₆₀.₉₃D₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×D₅	240		(C2^2xD5).3Dic3	480,31
(C₂²×D₅).₄Dic₃ = D₅×C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×D₅	120	4	(C2^2xD5).4Dic3	480,358
(C₂²×D₅).₅Dic₃ = C₂×C₂₀.₃₂D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×D₅	240		(C2^2xD5).5Dic3	480,369
(C₂²×D₅).₆Dic₃ = C₃₀.₇M₄(2)	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×D₅	240		(C2^2xD5).6Dic3	480,308
(C₂²×D₅).₇Dic₃ = C₂×C₆₀.C₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×D₅	240		(C2^2xD5).7Dic3	480,1060
(C₂²×D₅).₈Dic₃ = C₂×C₁₂.F₅	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×D₅	240		(C2^2xD5).8Dic3	480,1061
(C₂²×D₅).₉Dic₃ = C₆₀.₅₉(C₂×C₄)	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²×D₅	120	4	(C2^2xD5).9Dic3	480,1062
(C₂²×D₅).₁₀Dic₃ = C₂×D₅×C₃⋊C₈	φ: trivial image	240		(C2^2xD5).10Dic3	480,357

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