Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄×A₄

Direct product G=N×Q with N=C₃ and Q=D₄×A₄

		d	ρ	Label	ID
C₃×D₄×A₄		36	6	C3xD4xA4	288,980

Semidirect products G=N:Q with N=C₃ and Q=D₄×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄×A₄) = A₄×D₁₂	φ: D₄×A₄/C₄×A₄ → C₂ ⊆ Aut C₃	36	6+	C3:1(D4xA4)	288,920
C₃⋊₂(D₄×A₄) = A₄×C₃⋊D₄	φ: D₄×A₄/C₂²×A₄ → C₂ ⊆ Aut C₃	36	6	C3:2(D4xA4)	288,928

Non-split extensions G=N.Q with N=C₃ and Q=D₄×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄×A₄) = D₄×C₃.A₄	central extension (φ=1)	36	6	C3.(D4xA4)	288,344

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Extensions 1→N→G→Q→1 with N=C3 and Q=D4×A4