Extensions 1→N→G→Q→1 with N=C₃ and Q=C₇×C₄○D₄

Direct product G=N×Q with N=C₃ and Q=C₇×C₄○D₄

		d	ρ	Label	ID
C₄○D₄×C₂₁		168	2	C4oD4xC21	336,207

Semidirect products G=N:Q with N=C₃ and Q=C₇×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₇×C₄○D₄) = C₇×C₄○D₁₂	φ: C₇×C₄○D₄/C₂×C₂₈ → C₂ ⊆ Aut C₃	168	2	C3:1(C7xC4oD4)	336,187
C₃⋊₂(C₇×C₄○D₄) = C₇×D₄⋊₂S₃	φ: C₇×C₄○D₄/C₇×D₄ → C₂ ⊆ Aut C₃	168	4	C3:2(C7xC4oD4)	336,189
C₃⋊₃(C₇×C₄○D₄) = C₇×Q₈⋊₃S₃	φ: C₇×C₄○D₄/C₇×Q₈ → C₂ ⊆ Aut C₃	168	4	C3:3(C7xC4oD4)	336,191

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