Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.₁₀D₄

Direct product G=N×Q with N=C₇ and Q=C₂³.₁₀D₄

		d	ρ	Label	ID
C₇×C₂³.₁₀D₄		224		C7xC2^3.10D4	448,802

Semidirect products G=N:Q with N=C₇ and Q=C₂³.₁₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.₁₀D₄) = (C₂×Dic₇)⋊₃D₄	φ: C₂³.₁₀D₄/C₂.C₄² → C₂ ⊆ Aut C₇	224		C7:1(C2^3.10D4)	448,206
C₇⋊₂(C₂³.₁₀D₄) = C₂⁴.₁₄D₁₄	φ: C₂³.₁₀D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^3.10D4)	448,493
C₇⋊₃(C₂³.₁₀D₄) = C₂³.₁₆D₂₈	φ: C₂³.₁₀D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	224		C7:3(C2^3.10D4)	448,495
C₇⋊₄(C₂³.₁₀D₄) = (C₂×C₄)⋊₃D₂₈	φ: C₂³.₁₀D₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:4(C2^3.10D4)	448,525
C₇⋊₅(C₂³.₁₀D₄) = C₂⁴.₂₀D₁₄	φ: C₂³.₁₀D₄/C₂²×D₄ → C₂ ⊆ Aut C₇	224		C7:5(C2^3.10D4)	448,756

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