Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₃×D₇

Direct product G=N×Q with N=C₁₀ and Q=C₃×D₇

		d	ρ	Label	ID
D₇×C₃₀		210	2	D7xC30	420,34

Semidirect products G=N:Q with N=C₁₀ and Q=C₃×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₃×D₇) = C₆×D₃₅	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₁₀	210	2	C10:(C3xD7)	420,36

Non-split extensions G=N.Q with N=C₁₀ and Q=C₃×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(C₃×D₇) = C₃×Dic₃₅	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₁₀	420	2	C10.(C3xD7)	420,7
C₁₀.₂(C₃×D₇) = C₁₅×Dic₇	central extension (φ=1)	420	2	C10.2(C3xD7)	420,5

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Extensions 1→N→G→Q→1 with N=C10 and Q=C3×D7