Extensions 1→N→G→Q→1 with N=C₄xC₁₂ and Q=C₃²

Direct product G=NxQ with N=C₄xC₁₂ and Q=C₃²

		d	ρ	Label	ID
C₃xC₁₂²		432		C3xC12^2	432,512

Semidirect products G=N:Q with N=C₄xC₁₂ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₁₂):C₃² = C₃²xC₄²:C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄xC₁₂	108		(C4xC12):C3^2	432,463

Non-split extensions G=N.Q with N=C₄xC₁₂ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₁₂).₁C₃² = C₉xC₄²:C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄xC₁₂	108	3	(C4xC12).1C3^2	432,99
(C₄xC₁₂).₂C₃² = C₄²:3_-¹⁺²	φ: C₃²/C₃ → C₃ ⊆ Aut C₄xC₁₂	108	3	(C4xC12).2C3^2	432,100
(C₄xC₁₂).₃C₃² = C₃xC₄²:C₉	φ: C₃²/C₃ → C₃ ⊆ Aut C₄xC₁₂	108		(C4xC12).3C3^2	432,101
(C₄xC₁₂).₄C₃² = C₁₂².C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄xC₁₂	36	3	(C4xC12).4C3^2	432,102
(C₄xC₁₂).₅C₃² = C₄²:He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄xC₁₂	36	3	(C4xC12).5C3^2	432,103
(C₄xC₁₂).₆C₃² = C₄²xHe₃	central extension (φ=1)	144		(C4xC12).6C3^2	432,201
(C₄xC₁₂).₇C₃² = C₄²x3_-¹⁺²	central extension (φ=1)	144		(C4xC12).7C3^2	432,202

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