Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₃⋊S₃

Direct product G=N×Q with N=C₂₀ and Q=C₃⋊S₃

		d	ρ	Label	ID
C₃⋊S₃×C₂₀		180		C3:S3xC20	360,106

Semidirect products G=N:Q with N=C₂₀ and Q=C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀⋊₁(C₃⋊S₃) = C₆₀⋊S₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₂₀	180		C20:1(C3:S3)	360,112
C₂₀⋊₂(C₃⋊S₃) = C₄×C₃⋊D₁₅	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₂₀	180		C20:2(C3:S3)	360,111
C₂₀⋊₃(C₃⋊S₃) = C₅×C₁₂⋊S₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₂₀	180		C20:3(C3:S3)	360,107

Non-split extensions G=N.Q with N=C₂₀ and Q=C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁(C₃⋊S₃) = C₁₂.D₁₅	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₂₀	360		C20.1(C3:S3)	360,110
C₂₀.₂(C₃⋊S₃) = C₆₀.S₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₂₀	360		C20.2(C3:S3)	360,37
C₂₀.₃(C₃⋊S₃) = C₅×C₃²⋊₄Q₈	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₂₀	360		C20.3(C3:S3)	360,105
C₂₀.₄(C₃⋊S₃) = C₅×C₃²⋊₄C₈	central extension (φ=1)	360		C20.4(C3:S3)	360,36

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