Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₃×D₇

Direct product G=N×Q with N=Q₈ and Q=C₃×D₇

		d	ρ	Label	ID
C₃×Q₈×D₇		168	4	C3xQ8xD7	336,180

Semidirect products G=N:Q with N=Q₈ and Q=C₃×D₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₃×D₇) = D₇×SL₂(𝔽₃)	φ: C₃×D₇/D₇ → C₃ ⊆ Out Q₈	56	4-	Q8:(C3xD7)	336,132
Q₈⋊₂(C₃×D₇) = C₃×Q₈⋊D₇	φ: C₃×D₇/C₂₁ → C₂ ⊆ Out Q₈	168	4	Q8:2(C3xD7)	336,71
Q₈⋊₃(C₃×D₇) = C₃×Q₈⋊₂D₇	φ: trivial image	168	4	Q8:3(C3xD7)	336,181

Non-split extensions G=N.Q with N=Q₈ and Q=C₃×D₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₃×D₇) = Dic₇.₂A₄	φ: C₃×D₇/D₇ → C₃ ⊆ Out Q₈	112	4+	Q8.(C3xD7)	336,131
Q₈.₂(C₃×D₇) = C₃×C₇⋊Q₁₆	φ: C₃×D₇/C₂₁ → C₂ ⊆ Out Q₈	336	4	Q8.2(C3xD7)	336,72

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Extensions 1→N→G→Q→1 with N=Q8 and Q=C3×D7