Extensions 1→N→G→Q→1 with N=C₂×C₇⋊C₃ and Q=C₁₀

Direct product G=N×Q with N=C₂×C₇⋊C₃ and Q=C₁₀

		d	ρ	Label	ID
C₂×C₁₀×C₇⋊C₃		140		C2xC10xC7:C3	420,31

Semidirect products G=N:Q with N=C₂×C₇⋊C₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊C₃)⋊C₁₀ = C₁₀×F₇	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₇⋊C₃	70	6	(C2xC7:C3):C10	420,17

Non-split extensions G=N.Q with N=C₂×C₇⋊C₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊C₃).C₁₀ = C₅×C₇⋊C₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₇⋊C₃	140	6	(C2xC7:C3).C10	420,1
(C₂×C₇⋊C₃).₂C₁₀ = C₂₀×C₇⋊C₃	φ: trivial image	140	3	(C2xC7:C3).2C10	420,4

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Extensions 1→N→G→Q→1 with N=C2×C7⋊C3 and Q=C10