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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁D₄ = Dic₃⋊D₄	φ: D₄/C₄ → C₂ ⊆ Out D₆	48		D6:1D4	96,91
D₆⋊₂D₄ = C₁₂⋊D₄	φ: D₄/C₄ → C₂ ⊆ Out D₆	48		D6:2D4	96,102
D₆⋊₃D₄ = D₆⋊₃D₄	φ: D₄/C₄ → C₂ ⊆ Out D₆	48		D6:3D4	96,145
D₆⋊₄D₄ = D₆⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out D₆	24		D6:4D4	96,89
D₆⋊₅D₄ = C₂³⋊₂D₆	φ: D₄/C₂² → C₂ ⊆ Out D₆	24		D6:5D4	96,144

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁D₄ = D₈⋊₃S₃	φ: D₄/C₄ → C₂ ⊆ Out D₆	48	4-	D6.1D4	96,119
D₆.₂D₄ = Q₈.₇D₆	φ: D₄/C₄ → C₂ ⊆ Out D₆	48	4	D6.2D4	96,123
D₆.₃D₄ = D₂₄⋊C₂	φ: D₄/C₄ → C₂ ⊆ Out D₆	48	4+	D6.3D4	96,126
D₆.₄D₄ = C₂³.₉D₆	φ: D₄/C₂² → C₂ ⊆ Out D₆	48		D6.4D4	96,90
D₆.₅D₄ = D₆.D₄	φ: D₄/C₂² → C₂ ⊆ Out D₆	48		D6.5D4	96,101
D₆.₆D₄ = D₈⋊S₃	φ: D₄/C₂² → C₂ ⊆ Out D₆	24	4	D6.6D4	96,118
D₆.₇D₄ = Q₈⋊₃D₆	φ: D₄/C₂² → C₂ ⊆ Out D₆	24	4+	D6.7D4	96,121
D₆.₈D₄ = D₄.D₆	φ: D₄/C₂² → C₂ ⊆ Out D₆	48	4-	D6.8D4	96,122
D₆.₉D₄ = Q₁₆⋊S₃	φ: D₄/C₂² → C₂ ⊆ Out D₆	48	4	D6.9D4	96,125
D₆.₁₀D₄ = S₃×C₂²⋊C₄	φ: trivial image	24		D6.10D4	96,87
D₆.₁₁D₄ = S₃×C₄⋊C₄	φ: trivial image	48		D6.11D4	96,98
D₆.₁₂D₄ = S₃×D₈	φ: trivial image	24	4+	D6.12D4	96,117
D₆.₁₃D₄ = S₃×SD₁₆	φ: trivial image	24	4	D6.13D4	96,120
D₆.₁₄D₄ = S₃×Q₁₆	φ: trivial image	48	4-	D6.14D4	96,124

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