Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₂xC₁₂

Direct product G=NxQ with N=D₁₀ and Q=C₂xC₁₂

		d	ρ	Label	ID
D₅xC₂²xC₁₂		240		D5xC2^2xC12	480,1136

Semidirect products G=N:Q with N=D₁₀ and Q=C₂xC₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀:(C₂xC₁₂) = C₃xD₄xF₅	φ: C₂xC₁₂/C₆ → C₂² ⊆ Out D₁₀	60	8	D10:(C2xC12)	480,1054
D₁₀:₂(C₂xC₁₂) = C₁₂xD₂₀	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:2(C2xC12)	480,666
D₁₀:₃(C₂xC₁₂) = C₃xDic₅:₄D₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:3(C2xC12)	480,674
D₁₀:₄(C₂xC₁₂) = C₃xD₂₀:₈C₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:4(C2xC12)	480,686
D₁₀:₅(C₂xC₁₂) = C₁₂xC₅:D₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:5(C2xC12)	480,721
D₁₀:₆(C₂xC₁₂) = C₃xD₅xC₂²:C₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₁₀	120		D10:6(C2xC12)	480,673
D₁₀:₇(C₂xC₁₂) = C₆xD₁₀:C₄	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₁₀	240		D10:7(C2xC12)	480,720
D₁₀:₈(C₂xC₁₂) = C₆xC₂²:F₅	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₁₀	120		D10:8(C2xC12)	480,1059
D₁₀:₉(C₂xC₁₂) = F₅xC₂²xC₆	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₁₀	120		D10:9(C2xC12)	480,1205

Non-split extensions G=N.Q with N=D₁₀ and Q=C₂xC₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁(C₂xC₁₂) = C₃xD₄.F₅	φ: C₂xC₁₂/C₆ → C₂² ⊆ Out D₁₀	240	8	D10.1(C2xC12)	480,1053
D₁₀.₂(C₂xC₁₂) = C₃xQ₈.F₅	φ: C₂xC₁₂/C₆ → C₂² ⊆ Out D₁₀	240	8	D10.2(C2xC12)	480,1055
D₁₀.₃(C₂xC₁₂) = C₃xD₂₀.₃C₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₁₀	240	2	D10.3(C2xC12)	480,694
D₁₀.₄(C₂xC₁₂) = C₃xD₂₀.₂C₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₁₀	240	4	D10.4(C2xC12)	480,700
D₁₀.₅(C₂xC₁₂) = F₅xC₂₄	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₁₀	120	4	D10.5(C2xC12)	480,271
D₁₀.₆(C₂xC₁₂) = C₃xC₈:F₅	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₁₀	120	4	D10.6(C2xC12)	480,272
D₁₀.₇(C₂xC₁₂) = C₃xD₁₀.₃Q₈	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₁₀	120		D10.7(C2xC12)	480,286
D₁₀.₈(C₂xC₁₂) = F₅xC₂xC₁₂	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Out D₁₀	120		D10.8(C2xC12)	480,1050
D₁₀.₉(C₂xC₁₂) = C₃xC₄²:D₅	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₁₀	240		D10.9(C2xC12)	480,665
D₁₀.₁₀(C₂xC₁₂) = C₃xC₄:C₄:₇D₅	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₁₀	240		D10.10(C2xC12)	480,685
D₁₀.₁₁(C₂xC₁₂) = C₆xC₈:D₅	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₁₀	240		D10.11(C2xC12)	480,693
D₁₀.₁₂(C₂xC₁₂) = C₆xD₅:C₈	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₁₀	240		D10.12(C2xC12)	480,1047
D₁₀.₁₃(C₂xC₁₂) = C₆xC₄.F₅	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₁₀	240		D10.13(C2xC12)	480,1048
D₁₀.₁₄(C₂xC₁₂) = C₃xD₅:M₄(2)	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₁₀	120	4	D10.14(C2xC12)	480,1049
D₁₀.₁₅(C₂xC₁₂) = C₆xC₄:F₅	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₁₀	120		D10.15(C2xC12)	480,1051
D₁₀.₁₆(C₂xC₁₂) = C₃xD₁₀.C₂³	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Out D₁₀	120	4	D10.16(C2xC12)	480,1052
D₁₀.₁₇(C₂xC₁₂) = D₅xC₄xC₁₂	φ: trivial image	240		D10.17(C2xC12)	480,664
D₁₀.₁₈(C₂xC₁₂) = C₃xD₅xC₄:C₄	φ: trivial image	240		D10.18(C2xC12)	480,684
D₁₀.₁₉(C₂xC₁₂) = D₅xC₂xC₂₄	φ: trivial image	240		D10.19(C2xC12)	480,692
D₁₀.₂₀(C₂xC₁₂) = C₃xD₅xM₄(2)	φ: trivial image	120	4	D10.20(C2xC12)	480,699

Extensions 1→N→G→Q→1 with N=D10 and Q=C2xC12

Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₂xC₁₂