Extensions 1→N→G→Q→1 with N=C₂×Dic₃ and Q=C₁₀

Direct product G=N×Q with N=C₂×Dic₃ and Q=C₁₀

		d	ρ	Label	ID
Dic₃×C₂×C₁₀		240		Dic3xC2xC10	240,173

Semidirect products G=N:Q with N=C₂×Dic₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊₁C₁₀ = C₅×D₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₃	120		(C2xDic3):1C10	240,59
(C₂×Dic₃)⋊₂C₁₀ = C₅×C₆.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₃	120		(C2xDic3):2C10	240,64
(C₂×Dic₃)⋊₃C₁₀ = C₅×D₄⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₃	120	4	(C2xDic3):3C10	240,170
(C₂×Dic₃)⋊₄C₁₀ = C₁₀×C₃⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₃	120		(C2xDic3):4C10	240,174
(C₂×Dic₃)⋊₅C₁₀ = S₃×C₂×C₂₀	φ: trivial image	120		(C2xDic3):5C10	240,166

Non-split extensions G=N.Q with N=C₂×Dic₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).₁C₁₀ = C₅×Dic₃⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₃	240		(C2xDic3).1C10	240,57
(C₂×Dic₃).₂C₁₀ = C₅×C₄⋊Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₃	240		(C2xDic3).2C10	240,58
(C₂×Dic₃).₃C₁₀ = C₁₀×Dic₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₃	240		(C2xDic3).3C10	240,165
(C₂×Dic₃).₄C₁₀ = Dic₃×C₂₀	φ: trivial image	240		(C2xDic3).4C10	240,56

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