Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₃₁

Direct product G=N×Q with N=Q₈ and Q=D₃₁

		d	ρ	Label	ID
Q₈×D₃₁		248	4-	Q8xD31	496,33

Semidirect products G=N:Q with N=Q₈ and Q=D₃₁

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊D₃₁ = Q₈⋊D₃₁	φ: D₃₁/C₃₁ → C₂ ⊆ Out Q₈	248	4+	Q8:D31	496,16
Q₈⋊₂D₃₁ = Q₈⋊₂D₃₁	φ: trivial image	248	4+	Q8:2D31	496,34

Non-split extensions G=N.Q with N=Q₈ and Q=D₃₁

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.D₃₁ = C₃₁⋊Q₁₆	φ: D₃₁/C₃₁ → C₂ ⊆ Out Q₈	496	4-	Q8.D31	496,17

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Extensions 1→N→G→Q→1 with N=Q8 and Q=D31