Extensions 1→N→G→Q→1 with N=C₃⋊D₂₀ and Q=C₂

Direct product G=N×Q with N=C₃⋊D₂₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₃⋊D₂₀		120		C2xC3:D20	240,146

Semidirect products G=N:Q with N=C₃⋊D₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₂₀⋊₁C₂ = D₂₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊D₂₀	120	4	C3:D20:1C2	240,127
C₃⋊D₂₀⋊₂C₂ = C₁₂.₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊D₂₀	120	4+	C3:D20:2C2	240,134
C₃⋊D₂₀⋊₃C₂ = S₃×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊D₂₀	60	4+	C3:D20:3C2	240,137
C₃⋊D₂₀⋊₄C₂ = Dic₅.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊D₂₀	120	4	C3:D20:4C2	240,140
C₃⋊D₂₀⋊₅C₂ = D₅×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊D₂₀	60	4	C3:D20:5C2	240,149
C₃⋊D₂₀⋊₆C₂ = D₁₀⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊D₂₀	60	4+	C3:D20:6C2	240,151
C₃⋊D₂₀⋊₇C₂ = D₆.D₁₀	φ: trivial image	120	4	C3:D20:7C2	240,132

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁