Extensions 1→N→G→Q→1 with N=C₂₀.D₆ and Q=C₂

Direct product G=N×Q with N=C₂₀.D₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₀.D₆		240		C2xC20.D6	480,382

Semidirect products G=N:Q with N=C₂₀.D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀.D₆⋊₁C₂ = D₆₀.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₆	120	8+	C20.D6:1C2	480,556
C₂₀.D₆⋊₂C₂ = D₅×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₆	120	8-	C20.D6:2C2	480,559
C₂₀.D₆⋊₃C₂ = D₂₀.₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₆	120	8+	C20.D6:3C2	480,567
C₂₀.D₆⋊₄C₂ = D₂₀.₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₆	240	8-	C20.D6:4C2	480,569
C₂₀.D₆⋊₅C₂ = S₃×Q₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₆	120	8+	C20.D6:5C2	480,579
C₂₀.D₆⋊₆C₂ = D₂₀.₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₆	240	8-	C20.D6:6C2	480,584
C₂₀.D₆⋊₇C₂ = D₂₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₆	240	8+	C20.D6:7C2	480,592
C₂₀.D₆⋊₈C₂ = D₂₀.₂₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₆	240	8-	C20.D6:8C2	480,594
C₂₀.D₆⋊₉C₂ = C₄₀⋊₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₆	120	4	C20.D6:9C2	480,331
C₂₀.D₆⋊₁₀C₂ = C₄₀⋊₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₆	120	4	C20.D6:10C2	480,334
C₂₀.D₆⋊₁₁C₂ = D₄₀⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₆	240	4	C20.D6:11C2	480,353
C₂₀.D₆⋊₁₂C₂ = D₂₀.₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₆	240	4	C20.D6:12C2	480,354
C₂₀.D₆⋊₁₃C₂ = C₆₀.₃₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₆	120	4	C20.D6:13C2	480,374
C₂₀.D₆⋊₁₄C₂ = D₂₀.₃₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₆	240	4	C20.D6:14C2	480,383
C₂₀.D₆⋊₁₅C₂ = D₂₀.₃₄D₆	φ: trivial image	240	4	C20.D6:15C2	480,373

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