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		48	4	C3xD4.A4	288,985

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) = SL₂(𝔽₃).₁₁D₆	φ: D₄.A₄/C₂×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	48	4	C3:1(D4.A4)	288,923
C₃⋊₂(D₄.A₄) = D₁₂.A₄	φ: D₄.A₄/C₄.A₄ → C₂ ⊆ Aut C₃	48	4-	C3:2(D4.A4)	288,926

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) = 2_-¹⁺⁴⋊C₉	central extension (φ=1)	144	4	C3.(D4.A4)	288,349

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