Extensions 1→N→G→Q→1 with N=Dic₃ and Q=D₆

Direct product G=N×Q with N=Dic₃ and Q=D₆

		d	ρ	Label	ID
C₂×S₃×Dic₃		48		C2xS3xDic3	144,146

Semidirect products G=N:Q with N=Dic₃ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁D₆ = S₃×C₃⋊D₄	φ: D₆/S₃ → C₂ ⊆ Out Dic₃	24	4	Dic3:1D6	144,153
Dic₃⋊₂D₆ = Dic₃⋊D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₃	12	4+	Dic3:2D6	144,154
Dic₃⋊₃D₆ = S₃×D₁₂	φ: D₆/C₆ → C₂ ⊆ Out Dic₃	24	4+	Dic3:3D6	144,144
Dic₃⋊₄D₆ = C₂×C₃⋊D₁₂	φ: D₆/C₆ → C₂ ⊆ Out Dic₃	24		Dic3:4D6	144,151
Dic₃⋊₅D₆ = C₄×S₃²	φ: trivial image	24	4	Dic3:5D6	144,143
Dic₃⋊₆D₆ = C₂×C₆.D₆	φ: trivial image	24		Dic3:6D6	144,149

Non-split extensions G=N.Q with N=Dic₃ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁D₆ = D₁₂⋊S₃	φ: D₆/S₃ → C₂ ⊆ Out Dic₃	24	4	Dic3.1D6	144,139
Dic₃.₂D₆ = Dic₃.D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₃	24	4	Dic3.2D6	144,140
Dic₃.₃D₆ = D₆.₃D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₃	24	4	Dic3.3D6	144,147
Dic₃.₄D₆ = D₆.₄D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₃	24	4-	Dic3.4D6	144,148
Dic₃.₅D₆ = S₃×Dic₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₃	48	4-	Dic3.5D6	144,137
Dic₃.₆D₆ = D₆.D₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₃	24	4	Dic3.6D6	144,141
Dic₃.₇D₆ = C₂×C₃²⋊₂Q₈	φ: D₆/C₆ → C₂ ⊆ Out Dic₃	48		Dic3.7D6	144,152
Dic₃.₈D₆ = D₁₂⋊₅S₃	φ: trivial image	48	4-	Dic3.8D6	144,138
Dic₃.₉D₆ = D₆.₆D₆	φ: trivial image	24	4+	Dic3.9D6	144,142

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