Extensions 1→N→G→Q→1 with N=D₁₂ and Q=C₂×C₁₀

Direct product G=N×Q with N=D₁₂ and Q=C₂×C₁₀

		d	ρ	Label	ID
C₂×C₁₀×D₁₂		240		C2xC10xD12	480,1152

Semidirect products G=N:Q with N=D₁₂ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁(C₂×C₁₀) = C₅×S₃×D₈	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out D₁₂	120	4	D12:1(C2xC10)	480,789
D₁₂⋊₂(C₂×C₁₀) = C₅×Q₈⋊₃D₆	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out D₁₂	120	4	D12:2(C2xC10)	480,793
D₁₂⋊₃(C₂×C₁₀) = C₁₀×D₂₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12:3(C2xC10)	480,782
D₁₂⋊₄(C₂×C₁₀) = C₅×C₈⋊D₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:4(C2xC10)	480,787
D₁₂⋊₅(C₂×C₁₀) = C₁₀×D₄⋊S₃	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12:5(C2xC10)	480,810
D₁₂⋊₆(C₂×C₁₀) = C₅×D₁₂⋊₆C₂²	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:6(C2xC10)	480,811
D₁₂⋊₇(C₂×C₁₀) = S₃×D₄×C₁₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120		D12:7(C2xC10)	480,1154
D₁₂⋊₈(C₂×C₁₀) = C₅×D₄⋊₆D₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:8(C2xC10)	480,1156
D₁₂⋊₉(C₂×C₁₀) = C₁₀×Q₈⋊₃S₃	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12:9(C2xC10)	480,1158
D₁₂⋊₁₀(C₂×C₁₀) = C₅×S₃×C₄○D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:10(C2xC10)	480,1160
D₁₂⋊₁₁(C₂×C₁₀) = C₅×D₄○D₁₂	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:11(C2xC10)	480,1161
D₁₂⋊₁₂(C₂×C₁₀) = C₁₀×C₄○D₁₂	φ: trivial image	240		D12:12(C2xC10)	480,1153

Non-split extensions G=N.Q with N=D₁₂ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁(C₂×C₁₀) = C₅×D₈⋊S₃	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out D₁₂	120	4	D12.1(C2xC10)	480,790
D₁₂.₂(C₂×C₁₀) = C₅×S₃×SD₁₆	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out D₁₂	120	4	D12.2(C2xC10)	480,792
D₁₂.₃(C₂×C₁₀) = C₅×Q₈.₇D₆	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out D₁₂	240	4	D12.3(C2xC10)	480,795
D₁₂.₄(C₂×C₁₀) = C₅×Q₁₆⋊S₃	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out D₁₂	240	4	D12.4(C2xC10)	480,797
D₁₂.₅(C₂×C₁₀) = C₅×D₂₄⋊C₂	φ: C₂×C₁₀/C₅ → C₂² ⊆ Out D₁₂	240	4	D12.5(C2xC10)	480,798
D₁₂.₆(C₂×C₁₀) = C₁₀×C₂₄⋊C₂	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12.6(C2xC10)	480,781
D₁₂.₇(C₂×C₁₀) = C₅×C₄○D₂₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240	2	D12.7(C2xC10)	480,783
D₁₂.₈(C₂×C₁₀) = C₅×C₈.D₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240	4	D12.8(C2xC10)	480,788
D₁₂.₉(C₂×C₁₀) = C₁₀×Q₈⋊₂S₃	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12.9(C2xC10)	480,820
D₁₂.₁₀(C₂×C₁₀) = C₅×Q₈.₁₁D₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240	4	D12.10(C2xC10)	480,821
D₁₂.₁₁(C₂×C₁₀) = C₅×D₄⋊D₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12.11(C2xC10)	480,828
D₁₂.₁₂(C₂×C₁₀) = C₅×Q₈.₁₃D₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240	4	D12.12(C2xC10)	480,829
D₁₂.₁₃(C₂×C₁₀) = C₅×Q₈.₁₅D₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240	4	D12.13(C2xC10)	480,1159
D₁₂.₁₄(C₂×C₁₀) = C₅×Q₈○D₁₂	φ: trivial image	240	4	D12.14(C2xC10)	480,1162

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