Extensions 1→N→G→Q→1 with N=D₁₄ and Q=D₈

Direct product G=N×Q with N=D₁₄ and Q=D₈

		d	ρ	Label	ID
C₂×D₇×D₈		112		C2xD7xD8	448,1207

Semidirect products G=N:Q with N=D₁₄ and Q=D₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄⋊₁D₈ = D₁₄⋊D₈	φ: D₈/C₈ → C₂ ⊆ Out D₁₄	224		D14:1D8	448,309
D₁₄⋊₂D₈ = C₈⋊₇D₂₈	φ: D₈/C₈ → C₂ ⊆ Out D₁₄	224		D14:2D8	448,417
D₁₄⋊₃D₈ = C₅₆⋊₆D₄	φ: D₈/C₈ → C₂ ⊆ Out D₁₄	224		D14:3D8	448,691
D₁₄⋊₄D₈ = D₄⋊D₂₈	φ: D₈/D₄ → C₂ ⊆ Out D₁₄	112		D14:4D8	448,307
D₁₄⋊₅D₈ = D₂₈⋊D₄	φ: D₈/D₄ → C₂ ⊆ Out D₁₄	112		D14:5D8	448,690

Non-split extensions G=N.Q with N=D₁₄ and Q=D₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.₁D₈ = D₁₆⋊₃D₇	φ: D₈/C₈ → C₂ ⊆ Out D₁₄	224	4-	D14.1D8	448,446
D₁₄.₂D₈ = SD₃₂⋊₃D₇	φ: D₈/C₈ → C₂ ⊆ Out D₁₄	224	4	D14.2D8	448,450
D₁₄.₃D₈ = Q₃₂⋊₃D₇	φ: D₈/C₈ → C₂ ⊆ Out D₁₄	224	4+	D14.3D8	448,453
D₁₄.₄D₈ = D₁₄.D₈	φ: D₈/D₄ → C₂ ⊆ Out D₁₄	224		D14.4D8	448,308
D₁₄.₅D₈ = D₁₄.₅D₈	φ: D₈/D₄ → C₂ ⊆ Out D₁₄	224		D14.5D8	448,416
D₁₄.₆D₈ = D₈⋊D₁₄	φ: D₈/D₄ → C₂ ⊆ Out D₁₄	112	4	D14.6D8	448,445
D₁₄.₇D₈ = D₁₁₂⋊C₂	φ: D₈/D₄ → C₂ ⊆ Out D₁₄	112	4+	D14.7D8	448,448
D₁₄.₈D₈ = SD₃₂⋊D₇	φ: D₈/D₄ → C₂ ⊆ Out D₁₄	224	4-	D14.8D8	448,449
D₁₄.₉D₈ = Q₃₂⋊D₇	φ: D₈/D₄ → C₂ ⊆ Out D₁₄	224	4	D14.9D8	448,452
D₁₄.₁₀D₈ = D₇×D₄⋊C₄	φ: trivial image	112		D14.10D8	448,303
D₁₄.₁₁D₈ = D₇×C₂.D₈	φ: trivial image	224		D14.11D8	448,413
D₁₄.₁₂D₈ = D₇×D₁₆	φ: trivial image	112	4+	D14.12D8	448,444
D₁₄.₁₃D₈ = D₇×SD₃₂	φ: trivial image	112	4	D14.13D8	448,447
D₁₄.₁₄D₈ = D₇×Q₃₂	φ: trivial image	224	4-	D14.14D8	448,451

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