Extensions 1→N→G→Q→1 with N=C₁₂² and Q=C₃

Direct product G=N×Q with N=C₁₂² and Q=C₃

		d	ρ	Label	ID
C₃×C₁₂²		432		C3xC12^2	432,512

Semidirect products G=N:Q with N=C₁₂² and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂²⋊₁C₃ = C₄²⋊He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₁₂²	36	3	C12^2:1C3	432,103
C₁₂²⋊₂C₃ = C₄²×He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₁₂²	144		C12^2:2C3	432,201
C₁₂²⋊₃C₃ = C₃²×C₄²⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₁₂²	108		C12^2:3C3	432,463

Non-split extensions G=N.Q with N=C₁₂² and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂².₁C₃ = C₃×C₄²⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₁₂²	108		C12^2.1C3	432,101
C₁₂².₂C₃ = C₁₂².C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₁₂²	36	3	C12^2.2C3	432,102
C₁₂².₃C₃ = C₄²×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₁₂²	144		C12^2.3C3	432,202

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Extensions 1→N→G→Q→1 with N=C122 and Q=C3