Extensions 1→N→G→Q→1 with N=C₃×Dic₃ and Q=C₁₀

Direct product G=N×Q with N=C₃×Dic₃ and Q=C₁₀

		d	ρ	Label	ID
Dic₃×C₃₀		120		Dic3xC30	360,98

Semidirect products G=N:Q with N=C₃×Dic₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃)⋊₁C₁₀ = C₅×C₃⋊D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Dic₃	60	4	(C3xDic3):1C10	360,75
(C₃×Dic₃)⋊₂C₁₀ = C₅×S₃×Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Dic₃	120	4	(C3xDic3):2C10	360,72
(C₃×Dic₃)⋊₃C₁₀ = C₅×C₆.D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Dic₃	60	4	(C3xDic3):3C10	360,73
(C₃×Dic₃)⋊₄C₁₀ = C₁₅×C₃⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Dic₃	60	2	(C3xDic3):4C10	360,99
(C₃×Dic₃)⋊₅C₁₀ = S₃×C₆₀	φ: trivial image	120	2	(C3xDic3):5C10	360,96

Non-split extensions G=N.Q with N=C₃×Dic₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃).₁C₁₀ = C₅×C₃²⋊₂Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Dic₃	120	4	(C3xDic3).1C10	360,76
(C₃×Dic₃).₂C₁₀ = C₁₅×Dic₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×Dic₃	120	2	(C3xDic3).2C10	360,95

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