Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₃xD₇

Direct product G=NxQ with N=Q₈ and Q=C₃xD₇

		d	ρ	Label	ID
C₃xQ₈xD₇		168	4	C3xQ8xD7	336,180

Semidirect products G=N:Q with N=Q₈ and Q=C₃xD₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:(C₃xD₇) = D₇xSL₂(F₃)	φ: C₃xD₇/D₇ → C₃ ⊆ Out Q₈	56	4-	Q8:(C3xD7)	336,132
Q₈:₂(C₃xD₇) = C₃xQ₈:D₇	φ: C₃xD₇/C₂₁ → C₂ ⊆ Out Q₈	168	4	Q8:2(C3xD7)	336,71
Q₈:₃(C₃xD₇) = C₃xQ₈:₂D₇	φ: trivial image	168	4	Q8:3(C3xD7)	336,181

Non-split extensions G=N.Q with N=Q₈ and Q=C₃xD₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₃xD₇) = Dic₇.₂A₄	φ: C₃xD₇/D₇ → C₃ ⊆ Out Q₈	112	4+	Q8.(C3xD7)	336,131
Q₈.₂(C₃xD₇) = C₃xC₇:Q₁₆	φ: C₃xD₇/C₂₁ → C₂ ⊆ Out Q₈	336	4	Q8.2(C3xD7)	336,72

Extensions 1→N→G→Q→1 with N=Q8 and Q=C3xD7