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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(S₃×C₇) = C₁₄×D₁₅	φ: S₃×C₇/C₂₁ → C₂ ⊆ Aut C₁₀	210	2	C10:(S3xC7)	420,39

Non-split extensions G=N.Q with N=C₁₀ and Q=S₃×C₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(S₃×C₇) = C₇×Dic₁₅	φ: S₃×C₇/C₂₁ → C₂ ⊆ Aut C₁₀	420	2	C10.(S3xC7)	420,10
C₁₀.₂(S₃×C₇) = Dic₃×C₃₅	central extension (φ=1)	420	2	C10.2(S3xC7)	420,8

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