Extensions 1→N→G→Q→1 with N=D₁₂ and Q=Q₈

Direct product G=NxQ with N=D₁₂ and Q=Q₈

		d	ρ	Label	ID
Q₈xD₁₂		96		Q8xD12	192,1134

Semidirect products G=N:Q with N=D₁₂ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂:₁Q₈ = D₁₂:Q₈	φ: Q₈/C₂ → C₂² ⊆ Out D₁₂	96		D12:1Q8	192,429
D₁₂:₂Q₈ = D₁₂:₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Out D₁₂	96		D12:2Q8	192,449
D₁₂:₃Q₈ = D₁₂:₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₂	96		D12:3Q8	192,401
D₁₂:₄Q₈ = D₁₂:₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₂	96		D12:4Q8	192,405
D₁₂:₅Q₈ = D₁₂:₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₂	96		D12:5Q8	192,643
D₁₂:₆Q₈ = D₁₂:₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₂	96		D12:6Q8	192,646
D₁₂:₇Q₈ = D₁₂:₇Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₂	96		D12:7Q8	192,1249
D₁₂:₈Q₈ = D₁₂:₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₂	96		D12:8Q8	192,1286
D₁₂:₉Q₈ = D₁₂:₉Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₂	96		D12:9Q8	192,1289
D₁₂:₁₀Q₈ = D₁₂:₁₀Q₈	φ: trivial image	96		D12:10Q8	192,1138

Non-split extensions G=N.Q with N=D₁₂ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁Q₈ = D₁₂.Q₈	φ: Q₈/C₂ → C₂² ⊆ Out D₁₂	96		D12.1Q8	192,430
D₁₂.₂Q₈ = D₁₂.₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Out D₁₂	96		D12.2Q8	192,450
D₁₂.₃Q₈ = D₁₂.₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₂	96		D12.3Q8	192,406
D₁₂.₄Q₈ = D₁₂.₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₁₂	96		D12.4Q8	192,625

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