Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₂²×C₁₀

Direct product G=N×Q with N=Dic₃ and Q=C₂²×C₁₀

		d	ρ	Label	ID
Dic₃×C₂²×C₁₀		480		Dic3xC2^2xC10	480,1163

Semidirect products G=N:Q with N=Dic₃ and Q=C₂²×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁(C₂²×C₁₀) = S₃×D₄×C₁₀	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	120		Dic3:1(C2^2xC10)	480,1154
Dic₃⋊₂(C₂²×C₁₀) = C₂×C₁₀×C₃⋊D₄	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3:2(C2^2xC10)	480,1164
Dic₃⋊₃(C₂²×C₁₀) = S₃×C₂²×C₂₀	φ: trivial image	240		Dic3:3(C2^2xC10)	480,1151

Non-split extensions G=N.Q with N=Dic₃ and Q=C₂²×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₂²×C₁₀) = C₂×C₁₀×Dic₆	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	480		Dic3.1(C2^2xC10)	480,1150
Dic₃.₂(C₂²×C₁₀) = C₁₀×C₄○D₁₂	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.2(C2^2xC10)	480,1153
Dic₃.₃(C₂²×C₁₀) = C₁₀×D₄⋊₂S₃	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.3(C2^2xC10)	480,1155
Dic₃.₄(C₂²×C₁₀) = C₅×D₄⋊₆D₆	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.4(C2^2xC10)	480,1156
Dic₃.₅(C₂²×C₁₀) = S₃×Q₈×C₁₀	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.5(C2^2xC10)	480,1157
Dic₃.₆(C₂²×C₁₀) = C₅×Q₈.₁₅D₆	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240	4	Dic3.6(C2^2xC10)	480,1159
Dic₃.₇(C₂²×C₁₀) = C₅×S₃×C₄○D₄	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.7(C2^2xC10)	480,1160
Dic₃.₈(C₂²×C₁₀) = C₅×D₄○D₁₂	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.8(C2^2xC10)	480,1161
Dic₃.₉(C₂²×C₁₀) = C₅×Q₈○D₁₂	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240	4	Dic3.9(C2^2xC10)	480,1162
Dic₃.₁₀(C₂²×C₁₀) = C₁₀×Q₈⋊₃S₃	φ: trivial image	240		Dic3.10(C2^2xC10)	480,1158

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