Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=C₃xS₃

Direct product G=NxQ with N=C₂xC₁₀ and Q=C₃xS₃

		d	ρ	Label	ID
S₃xC₂xC₃₀		120		S3xC2xC30	360,158

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=C₃xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀):₁(C₃xS₃) = C₁₅xS₄	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₂xC₁₀	60	3	(C2xC10):1(C3xS3)	360,138
(C₂xC₁₀):₂(C₃xS₃) = C₃xC₅:S₄	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₂xC₁₀	60	6	(C2xC10):2(C3xS3)	360,139
(C₂xC₁₀):₃(C₃xS₃) = A₄xD₁₅	φ: C₃xS₃/C₃ → C₆ ⊆ Aut C₂xC₁₀	60	6+	(C2xC10):3(C3xS3)	360,144
(C₂xC₁₀):₄(C₃xS₃) = C₅xS₃xA₄	φ: C₃xS₃/S₃ → C₃ ⊆ Aut C₂xC₁₀	60	6	(C2xC10):4(C3xS3)	360,143
(C₂xC₁₀):₅(C₃xS₃) = C₁₅xC₃:D₄	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₂xC₁₀	60	2	(C2xC10):5(C3xS3)	360,99
(C₂xC₁₀):₆(C₃xS₃) = C₃xC₁₅:₇D₄	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₂xC₁₀	60	2	(C2xC10):6(C3xS3)	360,104
(C₂xC₁₀):₇(C₃xS₃) = C₂xC₆xD₁₅	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₂xC₁₀	120		(C2xC10):7(C3xS3)	360,159

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=C₃xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).(C₃xS₃) = C₆xDic₁₅	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₂xC₁₀	120		(C2xC10).(C3xS3)	360,103
(C₂xC₁₀).₂(C₃xS₃) = Dic₃xC₃₀	central extension (φ=1)	120		(C2xC10).2(C3xS3)	360,98

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