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

Direct product G=N×Q with N=C₇ and Q=C₂×C₄⋊₁D₄

		d	ρ	Label	ID
C₁₄×C₄⋊₁D₄		224		C14xC4:1D4	448,1313

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₄⋊₁D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₄⋊₁D₄) = C₂×C₂₈⋊₄D₄	φ: C₂×C₄⋊₁D₄/C₂×C₄² → C₂ ⊆ Aut C₇	224		C7:1(C2xC4:1D4)	448,928
C₇⋊₂(C₂×C₄⋊₁D₄) = D₇×C₄⋊₁D₄	φ: C₂×C₄⋊₁D₄/C₄⋊₁D₄ → C₂ ⊆ Aut C₇	112		C7:2(C2xC4:1D4)	448,1167
C₇⋊₃(C₂×C₄⋊₁D₄) = C₂×C₂₈⋊D₄	φ: C₂×C₄⋊₁D₄/C₂²×D₄ → C₂ ⊆ Aut C₇	224		C7:3(C2xC4:1D4)	448,1256

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