Extensions 1→N→G→Q→1 with N=D₆ and Q=D₈

Direct product G=N×Q with N=D₆ and Q=D₈

		d	ρ	Label	ID
C₂×S₃×D₈		48		C2xS3xD8	192,1313

Semidirect products G=N:Q with N=D₆ and Q=D₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁D₈ = D₆⋊D₈	φ: D₈/C₈ → C₂ ⊆ Out D₆	96		D6:1D8	192,334
D₆⋊₂D₈ = D₆⋊₂D₈	φ: D₈/C₈ → C₂ ⊆ Out D₆	96		D6:2D8	192,442
D₆⋊₃D₈ = D₆⋊₃D₈	φ: D₈/C₈ → C₂ ⊆ Out D₆	96		D6:3D8	192,716
D₆⋊₄D₈ = D₄⋊D₁₂	φ: D₈/D₄ → C₂ ⊆ Out D₆	48		D6:4D8	192,332
D₆⋊₅D₈ = D₁₂⋊D₄	φ: D₈/D₄ → C₂ ⊆ Out D₆	48		D6:5D8	192,715

Non-split extensions G=N.Q with N=D₆ and Q=D₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁D₈ = D₁₆⋊₃S₃	φ: D₈/C₈ → C₂ ⊆ Out D₆	96	4-	D6.1D8	192,471
D₆.₂D₈ = D₆.₂D₈	φ: D₈/C₈ → C₂ ⊆ Out D₆	96	4	D6.2D8	192,475
D₆.₃D₈ = D₄₈⋊₅C₂	φ: D₈/C₈ → C₂ ⊆ Out D₆	96	4+	D6.3D8	192,478
D₆.₄D₈ = D₆.D₈	φ: D₈/D₄ → C₂ ⊆ Out D₆	96		D6.4D8	192,333
D₆.₅D₈ = D₆.₅D₈	φ: D₈/D₄ → C₂ ⊆ Out D₆	96		D6.5D8	192,441
D₆.₆D₈ = D₈⋊D₆	φ: D₈/D₄ → C₂ ⊆ Out D₆	48	4	D6.6D8	192,470
D₆.₇D₈ = D₄₈⋊C₂	φ: D₈/D₄ → C₂ ⊆ Out D₆	48	4+	D6.7D8	192,473
D₆.₈D₈ = SD₃₂⋊S₃	φ: D₈/D₄ → C₂ ⊆ Out D₆	96	4-	D6.8D8	192,474
D₆.₉D₈ = Q₃₂⋊S₃	φ: D₈/D₄ → C₂ ⊆ Out D₆	96	4	D6.9D8	192,477
D₆.₁₀D₈ = S₃×D₄⋊C₄	φ: trivial image	48		D6.10D8	192,328
D₆.₁₁D₈ = S₃×C₂.D₈	φ: trivial image	96		D6.11D8	192,438
D₆.₁₂D₈ = S₃×D₁₆	φ: trivial image	48	4+	D6.12D8	192,469
D₆.₁₃D₈ = S₃×SD₃₂	φ: trivial image	48	4	D6.13D8	192,472
D₆.₁₄D₈ = S₃×Q₃₂	φ: trivial image	96	4-	D6.14D8	192,476

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