Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂²×C₁₀

Direct product G=N×Q with N=D₆ and Q=C₂²×C₁₀

		d	ρ	Label	ID
S₃×C₂³×C₁₀		240		S3xC2^3xC10	480,1211

Semidirect products G=N:Q with N=D₆ and Q=C₂²×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₂²×C₁₀) = C₂×C₁₀×D₁₂	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out D₆	240		D6:1(C2^2xC10)	480,1152
D₆⋊₂(C₂²×C₁₀) = S₃×D₄×C₁₀	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out D₆	120		D6:2(C2^2xC10)	480,1154
D₆⋊₃(C₂²×C₁₀) = C₂×C₁₀×C₃⋊D₄	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out D₆	240		D6:3(C2^2xC10)	480,1164

Non-split extensions G=N.Q with N=D₆ and Q=C₂²×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂²×C₁₀) = C₁₀×C₄○D₁₂	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out D₆	240		D6.1(C2^2xC10)	480,1153
D₆.₂(C₂²×C₁₀) = C₁₀×D₄⋊₂S₃	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out D₆	240		D6.2(C2^2xC10)	480,1155
D₆.₃(C₂²×C₁₀) = C₅×D₄⋊₆D₆	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out D₆	120	4	D6.3(C2^2xC10)	480,1156
D₆.₄(C₂²×C₁₀) = C₁₀×Q₈⋊₃S₃	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out D₆	240		D6.4(C2^2xC10)	480,1158
D₆.₅(C₂²×C₁₀) = C₅×Q₈.₁₅D₆	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out D₆	240	4	D6.5(C2^2xC10)	480,1159
D₆.₆(C₂²×C₁₀) = C₅×D₄○D₁₂	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out D₆	120	4	D6.6(C2^2xC10)	480,1161
D₆.₇(C₂²×C₁₀) = C₅×Q₈○D₁₂	φ: C₂²×C₁₀/C₂×C₁₀ → C₂ ⊆ Out D₆	240	4	D6.7(C2^2xC10)	480,1162
D₆.₈(C₂²×C₁₀) = S₃×C₂²×C₂₀	φ: trivial image	240		D6.8(C2^2xC10)	480,1151
D₆.₉(C₂²×C₁₀) = S₃×Q₈×C₁₀	φ: trivial image	240		D6.9(C2^2xC10)	480,1157
D₆.₁₀(C₂²×C₁₀) = C₅×S₃×C₄○D₄	φ: trivial image	120	4	D6.10(C2^2xC10)	480,1160

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