Extensions 1→N→G→Q→1 with N=D₁₀.D₆ and Q=C₂

Direct product G=N×Q with N=D₁₀.D₆ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₀.D₆		120		C2xD10.D6	480,1072

Semidirect products G=N:Q with N=D₁₀.D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.D₆⋊₁C₂ = D₁₀.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.D₆	120	8-	D10.D6:1C2	480,248
D₁₀.D₆⋊₂C₂ = D₁₀.₄D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.D₆	120	8+	D10.D6:2C2	480,249
D₁₀.D₆⋊₃C₂ = F₅×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.D₆	60	8	D10.D6:3C2	480,1010
D₁₀.D₆⋊₄C₂ = S₃×C₂²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.D₆	60	8+	D10.D6:4C2	480,1011
D₁₀.D₆⋊₅C₂ = (C₂×C₆₀)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.D₆	120	4	D10.D6:5C2	480,304
D₁₀.D₆⋊₆C₂ = C₃⋊(C₂³⋊F₅)	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.D₆	120	4	D10.D6:6C2	480,316
D₁₀.D₆⋊₇C₂ = D₄×C₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.D₆	60	8	D10.D6:7C2	480,1067

Non-split extensions G=N.Q with N=D₁₀.D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.D₆.C₂ = C₂²⋊F₅.S₃	φ: C₂/C₁ → C₂ ⊆ Out D₁₀.D₆	120	8-	D10.D6.C2	480,999
D₁₀.D₆.₂C₂ = (C₂×C₁₂)⋊₆F₅	φ: trivial image	120	4	D10.D6.2C2	480,1065

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