Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₃₀

Direct product G=N×Q with N=C₇ and Q=C₂×C₃₀

		d	ρ	Label	ID
C₂×C₂₁₀		420		C2xC210	420,41

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊(C₂×C₃₀) = C₁₀×F₇	φ: C₂×C₃₀/C₁₀ → C₆ ⊆ Aut C₇	70	6	C7:(C2xC30)	420,17
C₇⋊₂(C₂×C₃₀) = C₂×C₁₀×C₇⋊C₃	φ: C₂×C₃₀/C₂×C₁₀ → C₃ ⊆ Aut C₇	140		C7:2(C2xC30)	420,31
C₇⋊₃(C₂×C₃₀) = D₇×C₃₀	φ: C₂×C₃₀/C₃₀ → C₂ ⊆ Aut C₇	210	2	C7:3(C2xC30)	420,34

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