Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₄.₁₀D₄

Direct product G=N×Q with N=C₇ and Q=C₂×C₄.₁₀D₄

		d	ρ	Label	ID
C₁₄×C₄.₁₀D₄		224		C14xC4.10D4	448,820

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₄.₁₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₄.₁₀D₄) = D₇×C₄.₁₀D₄	φ: C₂×C₄.₁₀D₄/C₄.₁₀D₄ → C₂ ⊆ Aut C₇	112	8-	C7:1(C2xC4.10D4)	448,284
C₇⋊₂(C₂×C₄.₁₀D₄) = C₂×C₄.₁₂D₂₈	φ: C₂×C₄.₁₀D₄/C₂×M₄(2) → C₂ ⊆ Aut C₇	224		C7:2(C2xC4.10D4)	448,670
C₇⋊₃(C₂×C₄.₁₀D₄) = C₂×C₂₈.₁₀D₄	φ: C₂×C₄.₁₀D₄/C₂²×Q₈ → C₂ ⊆ Aut C₇	224		C7:3(C2xC4.10D4)	448,760

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