Extensions 1→N→G→Q→1 with N=C₅⋊D₁₂ and Q=C₂

Direct product G=N×Q with N=C₅⋊D₁₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₅⋊D₁₂		120		C2xC5:D12	240,147

Semidirect products G=N:Q with N=C₅⋊D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₁₂⋊₁C₂ = D₁₂⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊D₁₂	120	4	C5:D12:1C2	240,129
C₅⋊D₁₂⋊₂C₂ = D₆₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊D₁₂	120	4+	C5:D12:2C2	240,130
C₅⋊D₁₂⋊₃C₂ = D₅×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊D₁₂	60	4+	C5:D12:3C2	240,136
C₅⋊D₁₂⋊₄C₂ = Dic₃.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊D₁₂	120	4	C5:D12:4C2	240,143
C₅⋊D₁₂⋊₅C₂ = S₃×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊D₁₂	60	4	C5:D12:5C2	240,150
C₅⋊D₁₂⋊₆C₂ = D₁₀⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅⋊D₁₂	60	4+	C5:D12:6C2	240,151
C₅⋊D₁₂⋊₇C₂ = D₆.D₁₀	φ: trivial image	120	4	C5:D12:7C2	240,132

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁