Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₃×C₆

Direct product G=N×Q with N=C₂₀ and Q=C₃×C₆

		d	ρ	Label	ID
C₆×C₆₀		360		C6xC60	360,115

Semidirect products G=N:Q with N=C₂₀ and Q=C₃×C₆

extension	φ:Q→Aut N	d	Label	ID
C₂₀⋊₁(C₃×C₆) = C₃²×D₂₀	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₂₀	180	C20:1(C3xC6)	360,92
C₂₀⋊₂(C₃×C₆) = D₅×C₃×C₁₂	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₂₀	180	C20:2(C3xC6)	360,91
C₂₀⋊₃(C₃×C₆) = D₄×C₃×C₁₅	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₂₀	180	C20:3(C3xC6)	360,116

Non-split extensions G=N.Q with N=C₂₀ and Q=C₃×C₆

extension	φ:Q→Aut N	d	Label	ID
C₂₀.₁(C₃×C₆) = C₃²×Dic₁₀	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₂₀	360	C20.1(C3xC6)	360,90
C₂₀.₂(C₃×C₆) = C₃²×C₅⋊₂C₈	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₂₀	360	C20.2(C3xC6)	360,33
C₂₀.₃(C₃×C₆) = Q₈×C₃×C₁₅	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₂₀	360	C20.3(C3xC6)	360,117

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Extensions 1→N→G→Q→1 with N=C20 and Q=C3×C6