Extensions 1→N→G→Q→1 with N=D₄ and Q=D₂₈

Direct product G=N×Q with N=D₄ and Q=D₂₈

		d	ρ	Label	ID
D₄×D₂₈		112		D4xD28	448,1002

Semidirect products G=N:Q with N=D₄ and Q=D₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁D₂₈ = C₂₈⋊₇D₈	φ: D₂₈/C₂₈ → C₂ ⊆ Out D₄	224		D4:1D28	448,549
D₄⋊₂D₂₈ = D₄⋊D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Out D₄	112		D4:2D28	448,307
D₄⋊₃D₂₈ = D₄⋊₃D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Out D₄	224		D4:3D28	448,315
D₄⋊₄D₂₈ = D₄⋊₄D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Out D₄	56	4+	D4:4D28	448,356
D₄⋊₅D₂₈ = D₄⋊₅D₂₈	φ: trivial image	112		D4:5D28	448,1007
D₄⋊₆D₂₈ = D₄⋊₆D₂₈	φ: trivial image	224		D4:6D28	448,1008

Non-split extensions G=N.Q with N=D₄ and Q=D₂₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁D₂₈ = D₄.₁D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Out D₄	224		D4.1D28	448,550
D₄.₂D₂₈ = D₄.₂D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Out D₄	224		D4.2D28	448,553
D₄.₃D₂₈ = D₄.₃D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Out D₄	112	4	D4.3D28	448,675
D₄.₄D₂₈ = D₄.₄D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Out D₄	112	4+	D4.4D28	448,676
D₄.₅D₂₈ = D₄.₅D₂₈	φ: D₂₈/C₂₈ → C₂ ⊆ Out D₄	224	4-	D4.5D28	448,677
D₄.₆D₂₈ = D₄.₆D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Out D₄	112		D4.6D28	448,310
D₄.₇D₂₈ = D₄.D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Out D₄	224		D4.7D28	448,317
D₄.₈D₂₈ = M₄(2)⋊D₁₄	φ: D₂₈/D₁₄ → C₂ ⊆ Out D₄	112	4	D4.8D28	448,359
D₄.₉D₂₈ = D₄.₉D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Out D₄	112	4-	D4.9D28	448,360
D₄.₁₀D₂₈ = D₄.₁₀D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Out D₄	112	4	D4.10D28	448,361
D₄.₁₁D₂₈ = D₄.₁₁D₂₈	φ: trivial image	112	4	D4.11D28	448,1204
D₄.₁₂D₂₈ = D₄.₁₂D₂₈	φ: trivial image	112	4+	D4.12D28	448,1205
D₄.₁₃D₂₈ = D₄.₁₃D₂₈	φ: trivial image	224	4-	D4.13D28	448,1206

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