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

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

		d	ρ	Label	ID
C₃×Q₈²		192		C3xQ8^2	192,1447

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₃×Q₈) = Q₈×SL₂(𝔽₃)	φ: C₃×Q₈/Q₈ → C₃ ⊆ Out Q₈	64		Q8:(C3xQ8)	192,1007
Q₈⋊₂(C₃×Q₈) = C₃×Q₈⋊Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out Q₈	192		Q8:2(C3xQ8)	192,908
Q₈⋊₃(C₃×Q₈) = C₃×C₄.Q₁₆	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out Q₈	192		Q8:3(C3xQ8)	192,910
Q₈⋊₄(C₃×Q₈) = C₃×Q₈⋊₃Q₈	φ: trivial image	192		Q8:4(C3xQ8)	192,1446

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₃×Q₈) = SL₂(𝔽₃)⋊₃Q₈	φ: C₃×Q₈/Q₈ → C₃ ⊆ Out Q₈	64		Q8.(C3xQ8)	192,1006
Q₈.₂(C₃×Q₈) = C₃×Q₈.Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out Q₈	192		Q8.2(C3xQ8)	192,912

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