Extensions 1→N→G→Q→1 with N=C₁₂₃ and Q=C₂

Direct product G=N×Q with N=C₁₂₃ and Q=C₂

		d	ρ	Label	ID
C₂₄₆		246	1	C246	246,4

Semidirect products G=N:Q with N=C₁₂₃ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂₃⋊₁C₂ = D₁₂₃	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₃	123	2+	C123:1C2	246,3
C₁₂₃⋊₂C₂ = C₃×D₄₁	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₃	123	2	C123:2C2	246,2
C₁₂₃⋊₃C₂ = S₃×C₄₁	φ: C₂/C₁ → C₂ ⊆ Aut C₁₂₃	123	2	C123:3C2	246,1

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