Extensions 1→N→G→Q→1 with N=Dic₃ and Q=D₄

Direct product G=N×Q with N=Dic₃ and Q=D₄

		d	ρ	Label	ID
D₄×Dic₃		48		D4xDic3	96,141

Semidirect products G=N:Q with N=Dic₃ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁D₄ = C₁₂⋊₃D₄	φ: D₄/C₄ → C₂ ⊆ Out Dic₃	48		Dic3:1D4	96,147
Dic₃⋊₂D₄ = Dic₃⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out Dic₃	48		Dic3:2D4	96,91
Dic₃⋊₃D₄ = C₂³.₁₄D₆	φ: D₄/C₂² → C₂ ⊆ Out Dic₃	48		Dic3:3D4	96,146
Dic₃⋊₄D₄ = Dic₃⋊₄D₄	φ: trivial image	48		Dic3:4D4	96,88
Dic₃⋊₅D₄ = Dic₃⋊₅D₄	φ: trivial image	48		Dic3:5D4	96,100

Non-split extensions G=N.Q with N=Dic₃ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁D₄ = C₂³.₁₁D₆	φ: D₄/C₄ → C₂ ⊆ Out Dic₃	48		Dic3.1D4	96,92
Dic₃.₂D₄ = C₁₂⋊Q₈	φ: D₄/C₄ → C₂ ⊆ Out Dic₃	96		Dic3.2D4	96,95
Dic₃.₃D₄ = S₃×D₈	φ: D₄/C₄ → C₂ ⊆ Out Dic₃	24	4+	Dic3.3D4	96,117
Dic₃.₄D₄ = S₃×SD₁₆	φ: D₄/C₄ → C₂ ⊆ Out Dic₃	24	4	Dic3.4D4	96,120
Dic₃.₅D₄ = S₃×Q₁₆	φ: D₄/C₄ → C₂ ⊆ Out Dic₃	48	4-	Dic3.5D4	96,124
Dic₃.₆D₄ = Dic₃.D₄	φ: D₄/C₂² → C₂ ⊆ Out Dic₃	48		Dic3.6D4	96,85
Dic₃.₇D₄ = D₆⋊Q₈	φ: D₄/C₂² → C₂ ⊆ Out Dic₃	48		Dic3.7D4	96,103
Dic₃.₈D₄ = D₈⋊S₃	φ: D₄/C₂² → C₂ ⊆ Out Dic₃	24	4	Dic3.8D4	96,118
Dic₃.₉D₄ = Q₈⋊₃D₆	φ: D₄/C₂² → C₂ ⊆ Out Dic₃	24	4+	Dic3.9D4	96,121
Dic₃.₁₀D₄ = D₄.D₆	φ: D₄/C₂² → C₂ ⊆ Out Dic₃	48	4-	Dic3.10D4	96,122
Dic₃.₁₁D₄ = Q₁₆⋊S₃	φ: D₄/C₂² → C₂ ⊆ Out Dic₃	48	4	Dic3.11D4	96,125
Dic₃.₁₂D₄ = D₈⋊₃S₃	φ: trivial image	48	4-	Dic3.12D4	96,119
Dic₃.₁₃D₄ = Q₈.₇D₆	φ: trivial image	48	4	Dic3.13D4	96,123
Dic₃.₁₄D₄ = D₂₄⋊C₂	φ: trivial image	48	4+	Dic3.14D4	96,126

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