Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.₂₀D₄

Direct product G=N×Q with N=C₇ and Q=C₂³.₂₀D₄

		d	ρ	Label	ID
C₇×C₂³.₂₀D₄		224		C7xC2^3.20D4	448,893

Semidirect products G=N:Q with N=C₇ and Q=C₂³.₂₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.₂₀D₄) = C₂³.₁₀D₂₈	φ: C₂³.₂₀D₄/C₂²⋊C₈ → C₂ ⊆ Aut C₇	224		C7:1(C2^3.20D4)	448,257
C₇⋊₂(C₂³.₂₀D₄) = D₁₄⋊C₈.C₂	φ: C₂³.₂₀D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^3.20D4)	448,348
C₇⋊₃(C₂³.₂₀D₄) = (C₂×C₈).D₁₄	φ: C₂³.₂₀D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:3(C2^3.20D4)	448,349
C₇⋊₄(C₂³.₂₀D₄) = C₂₈.(C₄○D₄)	φ: C₂³.₂₀D₄/C₄.Q₈ → C₂ ⊆ Aut C₇	224		C7:4(C2^3.20D4)	448,401
C₇⋊₅(C₂³.₂₀D₄) = C₂.D₈⋊₇D₇	φ: C₂³.₂₀D₄/C₂.D₈ → C₂ ⊆ Aut C₇	224		C7:5(C2^3.20D4)	448,422
C₇⋊₆(C₂³.₂₀D₄) = C₄⋊C₄.₂₃₃D₁₄	φ: C₂³.₂₀D₄/C₄²⋊C₂ → C₂ ⊆ Aut C₇	224		C7:6(C2^3.20D4)	448,530
C₇⋊₇(C₂³.₂₀D₄) = C₁₄.(C₄○D₈)	φ: C₂³.₂₀D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₇	224		C7:7(C2^3.20D4)	448,579

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