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

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

		d	ρ	Label	ID
Q₈²		64		Q8^2	64,239

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

extension	φ:Q→Out N	d	Label	ID
Q₈⋊₁Q₈ = Q₈⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Q₈	64	Q8:1Q8	64,156
Q₈⋊₂Q₈ = C₄.Q₁₆	φ: Q₈/C₄ → C₂ ⊆ Out Q₈	64	Q8:2Q8	64,158
Q₈⋊₃Q₈ = Q₈⋊₃Q₈	φ: trivial image	64	Q8:3Q8	64,238

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.Q₈ = Q₈.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Q₈	64		Q8.Q8	64,160

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