Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₁₂

Direct product G=N×Q with N=C₂₀ and Q=C₁₂

		d	ρ	Label	ID
C₄×C₆₀		240		C4xC60	240,81

Semidirect products G=N:Q with N=C₂₀ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀⋊₁C₁₂ = C₃×C₄⋊F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂₀	60	4	C20:1C12	240,114
C₂₀⋊₂C₁₂ = C₁₂×F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂₀	60	4	C20:2C12	240,113
C₂₀⋊₃C₁₂ = C₃×C₄⋊Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₀	240		C20:3C12	240,42
C₂₀⋊₄C₁₂ = C₁₂×Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₀	240		C20:4C12	240,40
C₂₀⋊₅C₁₂ = C₁₅×C₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₀	240		C20:5C12	240,83

Non-split extensions G=N.Q with N=C₂₀ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁C₁₂ = C₃×C₄.F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂₀	120	4	C20.1C12	240,112
C₂₀.₂C₁₂ = C₃×C₅⋊C₁₆	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂₀	240	4	C20.2C12	240,5
C₂₀.₃C₁₂ = C₃×D₅⋊C₈	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂₀	120	4	C20.3C12	240,111
C₂₀.₄C₁₂ = C₃×C₄.Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₀	120	2	C20.4C12	240,39
C₂₀.₅C₁₂ = C₃×C₅⋊₂C₁₆	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₀	240	2	C20.5C12	240,2
C₂₀.₆C₁₂ = C₆×C₅⋊₂C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₀	240		C20.6C12	240,38
C₂₀.₇C₁₂ = C₁₅×M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₀	120	2	C20.7C12	240,85

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