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

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

		d	ρ	Label	ID
C₁₄×C₄.D₄		112		C14xC4.D4	448,819

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₄.D₄) = D₇×C₄.D₄	φ: C₂×C₄.D₄/C₄.D₄ → C₂ ⊆ Aut C₇	56	8+	C7:1(C2xC4.D4)	448,278
C₇⋊₂(C₂×C₄.D₄) = C₂×C₂₈.₄₆D₄	φ: C₂×C₄.D₄/C₂×M₄(2) → C₂ ⊆ Aut C₇	112		C7:2(C2xC4.D4)	448,664
C₇⋊₃(C₂×C₄.D₄) = C₂×C₂₈.D₄	φ: C₂×C₄.D₄/C₂²×D₄ → C₂ ⊆ Aut C₇	112		C7:3(C2xC4.D4)	448,750

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