Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=D₇

Direct product G=N×Q with N=C₂×C₁₀ and Q=D₇

		d	ρ	Label	ID
D₇×C₂×C₁₀		140		D7xC2xC10	280,37

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊₁D₇ = C₅×C₇⋊D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₀	140	2	(C2xC10):1D7	280,18
(C₂×C₁₀)⋊₂D₇ = C₃₅⋊₇D₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₀	140	2	(C2xC10):2D7	280,28
(C₂×C₁₀)⋊₃D₇ = C₂²×D₃₅	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₀	140		(C2xC10):3D7	280,39

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).D₇ = C₂×Dic₃₅	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₁₀	280		(C2xC10).D7	280,27
(C₂×C₁₀).₂D₇ = C₁₀×Dic₇	central extension (φ=1)	280		(C2xC10).2D7	280,17

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Extensions 1→N→G→Q→1 with N=C2×C10 and Q=D7