Extensions 1→N→G→Q→1 with N=D₈ and Q=C₃×C₆

Direct product G=N×Q with N=D₈ and Q=C₃×C₆

		d	ρ	Label	ID
D₈×C₃×C₆		144		D8xC3xC6	288,829

Semidirect products G=N:Q with N=D₈ and Q=C₃×C₆

extension	φ:Q→Out N	d	Label	ID
D₈⋊₁(C₃×C₆) = C₃²×D₁₆	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₈	144	D8:1(C3xC6)	288,329
D₈⋊₂(C₃×C₆) = C₃²×C₈⋊C₂²	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₈	72	D8:2(C3xC6)	288,833
D₈⋊₃(C₃×C₆) = C₃²×C₄○D₈	φ: trivial image	144	D8:3(C3xC6)	288,832

Non-split extensions G=N.Q with N=D₈ and Q=C₃×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.(C₃×C₆) = C₃²×SD₃₂	φ: C₃×C₆/C₃² → C₂ ⊆ Out D₈	144		D8.(C3xC6)	288,330

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Extensions 1→N→G→Q→1 with N=D8 and Q=C3×C6