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
S₃×C₆₀		120	2	S3xC60	360,96

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) = C₃×D₆₀	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₂₀	120	2	C20:1(C3xS3)	360,102
C₂₀⋊₂(C₃×S₃) = C₁₂×D₁₅	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₂₀	120	2	C20:2(C3xS3)	360,101
C₂₀⋊₃(C₃×S₃) = C₁₅×D₁₂	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₂₀	120	2	C20:3(C3xS3)	360,97

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) = C₃×Dic₃₀	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₂₀	120	2	C20.1(C3xS3)	360,100
C₂₀.₂(C₃×S₃) = C₃×C₁₅⋊₃C₈	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₂₀	120	2	C20.2(C3xS3)	360,35
C₂₀.₃(C₃×S₃) = C₁₅×Dic₆	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₂₀	120	2	C20.3(C3xS3)	360,95
C₂₀.₄(C₃×S₃) = C₁₅×C₃⋊C₈	central extension (φ=1)	120	2	C20.4(C3xS3)	360,34

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