Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄²⋊S₃

Direct product G=N×Q with N=C₃ and Q=C₄²⋊S₃

		d	ρ	Label	ID
C₃×C₄²⋊S₃		36	3	C3xC4^2:S3	288,397

Semidirect products G=N:Q with N=C₃ and Q=C₄²⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₄²⋊S₃) = (C₄×C₁₂)⋊S₃	φ: C₄²⋊S₃/C₄²⋊C₃ → C₂ ⊆ Aut C₃	36	6+	C3:(C4^2:S3)	288,401

Non-split extensions G=N.Q with N=C₃ and Q=C₄²⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄²⋊S₃) = C₄²⋊D₉	φ: C₄²⋊S₃/C₄²⋊C₃ → C₂ ⊆ Aut C₃	36	6+	C3.(C4^2:S3)	288,67

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Extensions 1→N→G→Q→1 with N=C3 and Q=C42⋊S3