Extensions 1→N→G→Q→1 with N=C₇ and Q=S₃×C₁₀

Direct product G=N×Q with N=C₇ and Q=S₃×C₁₀

		d	ρ	Label	ID
S₃×C₇₀		210	2	S3xC70	420,37

Semidirect products G=N:Q with N=C₇ and Q=S₃×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(S₃×C₁₀) = C₅×S₃×D₇	φ: S₃×C₁₀/C₅×S₃ → C₂ ⊆ Aut C₇	105	4	C7:1(S3xC10)	420,25
C₇⋊₂(S₃×C₁₀) = C₁₀×D₂₁	φ: S₃×C₁₀/C₃₀ → C₂ ⊆ Aut C₇	210	2	C7:2(S3xC10)	420,38

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