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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁(C₂×C₁₀) = C₅×S₃×D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₃	60	4	Dic3:1(C2xC10)	240,169
Dic₃⋊₂(C₂×C₁₀) = C₁₀×C₃⋊D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₃	120		Dic3:2(C2xC10)	240,174
Dic₃⋊₃(C₂×C₁₀) = S₃×C₂×C₂₀	φ: trivial image	120		Dic3:3(C2xC10)	240,166

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₂×C₁₀) = C₁₀×Dic₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.1(C2xC10)	240,165
Dic₃.₂(C₂×C₁₀) = C₅×C₄○D₁₂	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₃	120	2	Dic3.2(C2xC10)	240,168
Dic₃.₃(C₂×C₁₀) = C₅×D₄⋊₂S₃	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.3(C2xC10)	240,170
Dic₃.₄(C₂×C₁₀) = C₅×S₃×Q₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.4(C2xC10)	240,171
Dic₃.₅(C₂×C₁₀) = C₅×Q₈⋊₃S₃	φ: trivial image	120	4	Dic3.5(C2xC10)	240,172

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