Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅₆⋊C₂

Direct product G=N×Q with N=C₃ and Q=C₅₆⋊C₂

		d	ρ	Label	ID
C₃×C₅₆⋊C₂		168	2	C3xC56:C2	336,60

Semidirect products G=N:Q with N=C₃ and Q=C₅₆⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₅₆⋊C₂) = C₈⋊D₂₁	φ: C₅₆⋊C₂/C₅₆ → C₂ ⊆ Aut C₃	168	2	C3:1(C56:C2)	336,92
C₃⋊₂(C₅₆⋊C₂) = C₂₁⋊SD₁₆	φ: C₅₆⋊C₂/Dic₁₄ → C₂ ⊆ Aut C₃	168	4+	C3:2(C56:C2)	336,35
C₃⋊₃(C₅₆⋊C₂) = C₆.D₂₈	φ: C₅₆⋊C₂/D₂₈ → C₂ ⊆ Aut C₃	168	4-	C3:3(C56:C2)	336,34

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