Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₂₈

Direct product G=N×Q with N=Q₈ and Q=D₂₈

		d	ρ	Label	ID
Q₈×D₂₈		224		Q8xD28	448,1028

Semidirect products G=N:Q with N=Q₈ and Q=D₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁D₂₈ = Q₈⋊D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Out Q₈	224		Q8:1D28	448,561
Q₈⋊₂D₂₈ = Q₈⋊₂D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Out Q₈	224		Q8:2D28	448,340
Q₈⋊₃D₂₈ = D₂₈⋊₄D₄	φ: D₂₈/D₁₄ → C₂ ⊆ Out Q₈	224		Q8:3D28	448,345
Q₈⋊₄D₂₈ = D₄⋊₄D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Out Q₈	56	4+	Q8:4D28	448,356
Q₈⋊₅D₂₈ = Q₈⋊₅D₂₈	φ: trivial image	224		Q8:5D28	448,1029
Q₈⋊₆D₂₈ = Q₈⋊₆D₂₈	φ: trivial image	224		Q8:6D28	448,1030

Non-split extensions G=N.Q with N=Q₈ and Q=D₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁D₂₈ = Q₈.₁D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Out Q₈	224		Q8.1D28	448,562
Q₈.₂D₂₈ = C₂₈⋊₇Q₁₆	φ: D₂₈/C₂₈ → C₂ ⊆ Out Q₈	448		Q8.2D28	448,565
Q₈.₃D₂₈ = D₄.₃D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Out Q₈	112	4	Q8.3D28	448,675
Q₈.₄D₂₈ = D₄.₄D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Out Q₈	112	4+	Q8.4D28	448,676
Q₈.₅D₂₈ = D₄.₅D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Out Q₈	224	4-	Q8.5D28	448,677
Q₈.₆D₂₈ = D₁₄⋊₄Q₁₆	φ: D₂₈/D₁₄ → C₂ ⊆ Out Q₈	224		Q8.6D28	448,342
Q₈.₇D₂₈ = Q₈.D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Out Q₈	224		Q8.7D28	448,344
Q₈.₈D₂₈ = M₄(2)⋊D₁₄	φ: D₂₈/D₁₄ → C₂ ⊆ Out Q₈	112	4	Q8.8D28	448,359
Q₈.₉D₂₈ = D₄.₉D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Out Q₈	112	4-	Q8.9D28	448,360
Q₈.₁₀D₂₈ = D₄.₁₀D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Out Q₈	112	4	Q8.10D28	448,361
Q₈.₁₁D₂₈ = D₄.₁₁D₂₈	φ: trivial image	112	4	Q8.11D28	448,1204
Q₈.₁₂D₂₈ = D₄.₁₂D₂₈	φ: trivial image	112	4+	Q8.12D28	448,1205
Q₈.₁₃D₂₈ = D₄.₁₃D₂₈	φ: trivial image	224	4-	Q8.13D28	448,1206

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