Extensions 1→N→G→Q→1 with N=C₄×C₁₂ and Q=C₃²

Direct product G=N×Q with N=C₄×C₁₂ and Q=C₃²

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

Semidirect products G=N:Q with N=C₄×C₁₂ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₁₂)⋊C₃² = C₃²×C₄²⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄×C₁₂	108		(C4xC12):C3^2	432,463

Non-split extensions G=N.Q with N=C₄×C₁₂ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₁₂).₁C₃² = C₉×C₄²⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄×C₁₂	108	3	(C4xC12).1C3^2	432,99
(C₄×C₁₂).₂C₃² = C₄²⋊3_-¹⁺²	φ: C₃²/C₃ → C₃ ⊆ Aut C₄×C₁₂	108	3	(C4xC12).2C3^2	432,100
(C₄×C₁₂).₃C₃² = C₃×C₄²⋊C₉	φ: C₃²/C₃ → C₃ ⊆ Aut C₄×C₁₂	108		(C4xC12).3C3^2	432,101
(C₄×C₁₂).₄C₃² = C₁₂².C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄×C₁₂	36	3	(C4xC12).4C3^2	432,102
(C₄×C₁₂).₅C₃² = C₄²⋊He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₄×C₁₂	36	3	(C4xC12).5C3^2	432,103
(C₄×C₁₂).₆C₃² = C₄²×He₃	central extension (φ=1)	144		(C4xC12).6C3^2	432,201
(C₄×C₁₂).₇C₃² = C₄²×3_-¹⁺²	central extension (φ=1)	144		(C4xC12).7C3^2	432,202

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