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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₁₂×A₄) = C₃×Dic₃×A₄	φ: C₁₂×A₄/C₆×A₄ → C₂ ⊆ Aut C₃	36	6	C3:(C12xA4)	432,624

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₁₂×A₄) = A₄×C₃₆	central extension (φ=1)	108	3	C3.1(C12xA4)	432,325
C₃.₂(C₁₂×A₄) = C₁₂×C₃.A₄	central extension (φ=1)	108		C3.2(C12xA4)	432,331
C₃.₃(C₁₂×A₄) = C₄×C₉⋊A₄	central stem extension (φ=1)	108	3	C3.3(C12xA4)	432,326
C₃.₄(C₁₂×A₄) = C₄×C₃².A₄	central stem extension (φ=1)	36	3	C3.4(C12xA4)	432,332
C₃.₅(C₁₂×A₄) = C₄×C₃²⋊A₄	central stem extension (φ=1)	36	3	C3.5(C12xA4)	432,333

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