Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈⋊₂D₇

Direct product G=N×Q with N=C₃ and Q=Q₈⋊₂D₇

		d	ρ	Label	ID
C₃×Q₈⋊₂D₇		168	4	C3xQ8:2D7	336,181

Semidirect products G=N:Q with N=C₃ and Q=Q₈⋊₂D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈⋊₂D₇) = D₁₄.D₆	φ: Q₈⋊₂D₇/C₄×D₇ → C₂ ⊆ Aut C₃	168	4+	C3:1(Q8:2D7)	336,146
C₃⋊₂(Q₈⋊₂D₇) = D₂₈⋊S₃	φ: Q₈⋊₂D₇/D₂₈ → C₂ ⊆ Aut C₃	168	4	C3:2(Q8:2D7)	336,139
C₃⋊₃(Q₈⋊₂D₇) = Q₈⋊₃D₂₁	φ: Q₈⋊₂D₇/C₇×Q₈ → C₂ ⊆ Aut C₃	168	4+	C3:3(Q8:2D7)	336,201

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