Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂xC₆

Direct product G=NxQ with N=Q₈ and Q=C₂xC₆

		d	ρ	Label	ID
Q₈xC₂xC₆		96		Q8xC2xC6	96,222

Semidirect products G=N:Q with N=Q₈ and Q=C₂xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:(C₂xC₆) = C₂²xSL₂(F₃)	φ: C₂xC₆/C₂² → C₃ ⊆ Out Q₈	32		Q8:(C2xC6)	96,198
Q₈:₂(C₂xC₆) = C₆xSD₁₆	φ: C₂xC₆/C₆ → C₂ ⊆ Out Q₈	48		Q8:2(C2xC6)	96,180
Q₈:₃(C₂xC₆) = C₃xC₈:C₂²	φ: C₂xC₆/C₆ → C₂ ⊆ Out Q₈	24	4	Q8:3(C2xC6)	96,183
Q₈:₄(C₂xC₆) = C₆xC₄oD₄	φ: trivial image	48		Q8:4(C2xC6)	96,223
Q₈:₅(C₂xC₆) = C₃x2₊¹⁺⁴	φ: trivial image	24	4	Q8:5(C2xC6)	96,224

Non-split extensions G=N.Q with N=Q₈ and Q=C₂xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂xC₆) = C₂xC₄.A₄	φ: C₂xC₆/C₂² → C₃ ⊆ Out Q₈	32		Q8.1(C2xC6)	96,200
Q₈.₂(C₂xC₆) = Q₈.A₄	φ: C₂xC₆/C₂² → C₃ ⊆ Out Q₈	24	4+	Q8.2(C2xC6)	96,201
Q₈.₃(C₂xC₆) = D₄.A₄	φ: C₂xC₆/C₂² → C₃ ⊆ Out Q₈	16	4-	Q8.3(C2xC6)	96,202
Q₈.₄(C₂xC₆) = C₆xQ₁₆	φ: C₂xC₆/C₆ → C₂ ⊆ Out Q₈	96		Q8.4(C2xC6)	96,181
Q₈.₅(C₂xC₆) = C₃xC₄oD₈	φ: C₂xC₆/C₆ → C₂ ⊆ Out Q₈	48	2	Q8.5(C2xC6)	96,182
Q₈.₆(C₂xC₆) = C₃xC₈.C₂²	φ: C₂xC₆/C₆ → C₂ ⊆ Out Q₈	48	4	Q8.6(C2xC6)	96,184
Q₈.₇(C₂xC₆) = C₃x2_-¹⁺⁴	φ: trivial image	48	4	Q8.7(C2xC6)	96,225

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