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

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

		d	ρ	Label	ID
D₄×C₃×C₆		72		D4xC3xC6	144,179

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₃×C₆) = C₃²×D₈	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₄	72		D4:(C3xC6)	144,106
D₄⋊₂(C₃×C₆) = C₃²×C₄○D₄	φ: trivial image	72		D4:2(C3xC6)	144,181

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃×C₆) = C₃²×SD₁₆	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₄	72		D4.(C3xC6)	144,107

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