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		C14xC4oD4	224,192

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) = C₂×C₄○D₂₈	φ: C₂×C₄○D₄/C₂²×C₄ → C₂ ⊆ Aut C₇	112		C7:1(C2xC4oD4)	224,177
C₇⋊₂(C₂×C₄○D₄) = C₂×D₄⋊₂D₇	φ: C₂×C₄○D₄/C₂×D₄ → C₂ ⊆ Aut C₇	112		C7:2(C2xC4oD4)	224,179
C₇⋊₃(C₂×C₄○D₄) = C₂×Q₈⋊₂D₇	φ: C₂×C₄○D₄/C₂×Q₈ → C₂ ⊆ Aut C₇	112		C7:3(C2xC4oD4)	224,182
C₇⋊₄(C₂×C₄○D₄) = D₇×C₄○D₄	φ: C₂×C₄○D₄/C₄○D₄ → C₂ ⊆ Aut C₇	56	4	C7:4(C2xC4oD4)	224,184

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