Extensions 1→N→G→Q→1 with N=D₄×C₃×C₆ and Q=C₃

Direct product G=N×Q with N=D₄×C₃×C₆ and Q=C₃

		d	ρ	Label	ID
D₄×C₃²×C₆		216		D4xC3^2xC6	432,731

Semidirect products G=N:Q with N=D₄×C₃×C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₃×C₆)⋊C₃ = C₂×D₄×He₃	φ: C₃/C₁ → C₃ ⊆ Out D₄×C₃×C₆	72		(D4xC3xC6):C3	432,404

Non-split extensions G=N.Q with N=D₄×C₃×C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₃×C₆).C₃ = C₂×D₄×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out D₄×C₃×C₆	72		(D4xC3xC6).C3	432,405
(D₄×C₃×C₆).₂C₃ = D₄×C₃×C₁₈	φ: trivial image	216		(D4xC3xC6).2C3	432,403

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Extensions 1→N→G→Q→1 with N=D4×C3×C6 and Q=C3