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

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

		d	ρ	Label	ID
C₃×A₄⋊D₄		36	6	C3xA4:D4	288,906

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(A₄⋊D₄) = A₄⋊D₁₂	φ: A₄⋊D₄/A₄⋊C₄ → C₂ ⊆ Aut C₃	36	6+	C3:1(A4:D4)	288,858
C₃⋊₂(A₄⋊D₄) = D₆⋊S₄	φ: A₄⋊D₄/C₂×S₄ → C₂ ⊆ Aut C₃	36	6	C3:2(A4:D4)	288,857
C₃⋊₃(A₄⋊D₄) = (C₂×C₆)⋊₄S₄	φ: A₄⋊D₄/C₂²×A₄ → C₂ ⊆ Aut C₃	36	6	C3:3(A4:D4)	288,917

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(A₄⋊D₄) = C₂³.D₁₈	φ: A₄⋊D₄/C₂²×A₄ → C₂ ⊆ Aut C₃	36	6	C3.(A4:D4)	288,342

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