Extensions 1→N→G→Q→1 with N=D₄ and Q=D₆

Direct product G=N×Q with N=D₄ and Q=D₆

		d	ρ	Label	ID
C₂×S₃×D₄		24		C2xS3xD4	96,209

Semidirect products G=N:Q with N=D₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁D₆ = S₃×D₈	φ: D₆/S₃ → C₂ ⊆ Out D₄	24	4+	D4:1D6	96,117
D₄⋊₂D₆ = D₈⋊S₃	φ: D₆/S₃ → C₂ ⊆ Out D₄	24	4	D4:2D6	96,118
D₄⋊₃D₆ = C₂×D₄⋊S₃	φ: D₆/C₆ → C₂ ⊆ Out D₄	48		D4:3D6	96,138
D₄⋊₄D₆ = D₄⋊D₆	φ: D₆/C₆ → C₂ ⊆ Out D₄	24	4+	D4:4D6	96,156
D₄⋊₅D₆ = C₂×D₄⋊₂S₃	φ: trivial image	48		D4:5D6	96,210
D₄⋊₆D₆ = D₄⋊₆D₆	φ: trivial image	24	4	D4:6D6	96,211
D₄⋊₇D₆ = S₃×C₄○D₄	φ: trivial image	24	4	D4:7D6	96,215
D₄⋊₈D₆ = D₄○D₁₂	φ: trivial image	24	4+	D4:8D6	96,216

Non-split extensions G=N.Q with N=D₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁D₆ = D₈⋊₃S₃	φ: D₆/S₃ → C₂ ⊆ Out D₄	48	4-	D4.1D6	96,119
D₄.₂D₆ = S₃×SD₁₆	φ: D₆/S₃ → C₂ ⊆ Out D₄	24	4	D4.2D6	96,120
D₄.₃D₆ = Q₈⋊₃D₆	φ: D₆/S₃ → C₂ ⊆ Out D₄	24	4+	D4.3D6	96,121
D₄.₄D₆ = D₄.D₆	φ: D₆/S₃ → C₂ ⊆ Out D₄	48	4-	D4.4D6	96,122
D₄.₅D₆ = Q₈.₇D₆	φ: D₆/S₃ → C₂ ⊆ Out D₄	48	4	D4.5D6	96,123
D₄.₆D₆ = D₁₂⋊₆C₂²	φ: D₆/C₆ → C₂ ⊆ Out D₄	24	4	D4.6D6	96,139
D₄.₇D₆ = C₂×D₄.S₃	φ: D₆/C₆ → C₂ ⊆ Out D₄	48		D4.7D6	96,140
D₄.₈D₆ = Q₈.₁₃D₆	φ: D₆/C₆ → C₂ ⊆ Out D₄	48	4	D4.8D6	96,157
D₄.₉D₆ = Q₈.₁₄D₆	φ: D₆/C₆ → C₂ ⊆ Out D₄	48	4-	D4.9D6	96,158
D₄.₁₀D₆ = Q₈○D₁₂	φ: trivial image	48	4-	D4.10D6	96,217

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