Extensions 1→N→G→Q→1 with N=C₁₂₃ and Q=C₂²

Direct product G=N×Q with N=C₁₂₃ and Q=C₂²

		d	ρ	Label	ID
C₂×C₂₄₆		492		C2xC246	492,12

Semidirect products G=N:Q with N=C₁₂₃ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂₃⋊C₂² = S₃×D₄₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₂₃	123	4+	C123:C2^2	492,7
C₁₂₃⋊₂C₂² = D₂₄₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₃	246	2+	C123:2C2^2	492,11
C₁₂₃⋊₃C₂² = C₆×D₄₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₃	246	2	C123:3C2^2	492,9
C₁₂₃⋊₄C₂² = S₃×C₈₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₂₃	246	2	C123:4C2^2	492,10

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