Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂xC₆

Direct product G=NxQ with N=D₄ and Q=C₂xC₆

		d	ρ	Label	ID
D₄xC₂xC₆		48		D4xC2xC6	96,221

Semidirect products G=N:Q with N=D₄ and Q=C₂xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₁(C₂xC₆) = C₆xD₈	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₄	48		D4:1(C2xC6)	96,179
D₄:₂(C₂xC₆) = C₃xC₈:C₂²	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₄	24	4	D4:2(C2xC6)	96,183
D₄:₃(C₂xC₆) = C₆xC₄oD₄	φ: trivial image	48		D4:3(C2xC6)	96,223
D₄:₄(C₂xC₆) = C₃x2₊¹⁺⁴	φ: trivial image	24	4	D4:4(C2xC6)	96,224

Non-split extensions G=N.Q with N=D₄ and Q=C₂xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂xC₆) = C₆xSD₁₆	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₄	48		D4.1(C2xC6)	96,180
D₄.₂(C₂xC₆) = C₃xC₄oD₈	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₄	48	2	D4.2(C2xC6)	96,182
D₄.₃(C₂xC₆) = C₃xC₈.C₂²	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₄	48	4	D4.3(C2xC6)	96,184
D₄.₄(C₂xC₆) = C₃x2_-¹⁺⁴	φ: trivial image	48	4	D4.4(C2xC6)	96,225

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