Extensions 1→N→G→Q→1 with N=C₃×C₁₂ and Q=A₄

Direct product G=N×Q with N=C₃×C₁₂ and Q=A₄

		d	ρ	Label	ID
A₄×C₃×C₁₂		108		A4xC3xC12	432,697

Semidirect products G=N:Q with N=C₃×C₁₂ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₂)⋊A₄ = C₄×C₃²⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₁₂	36	3	(C3xC12):A4	432,333

Non-split extensions G=N.Q with N=C₃×C₁₂ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₂).₁A₄ = C₄×C₃².A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₁₂	36	3	(C3xC12).1A4	432,332
(C₃×C₁₂).₂A₄ = Q₈⋊C₉⋊₄C₆	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₁₂	72	6	(C3xC12).2A4	432,338
(C₃×C₁₂).₃A₄ = C₄○D₄⋊He₃	φ: A₄/C₂² → C₃ ⊆ Aut C₃×C₁₂	72	6	(C3xC12).3A4	432,339
(C₃×C₁₂).₄A₄ = C₁₂×C₃.A₄	central extension (φ=1)	108		(C3xC12).4A4	432,331
(C₃×C₁₂).₅A₄ = C₃×Q₈.C₁₈	central extension (φ=1)	216		(C3xC12).5A4	432,337
(C₃×C₁₂).₆A₄ = C₃²×C₄.A₄	central extension (φ=1)	144		(C3xC12).6A4	432,699

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