Extensions 1→N→G→Q→1 with N=Dic₁₄ and Q=C₆

Direct product G=NxQ with N=Dic₁₄ and Q=C₆

		d	ρ	Label	ID
C₆xDic₁₄		336		C6xDic14	336,174

Semidirect products G=N:Q with N=Dic₁₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄:₁C₆ = D₄.F₇	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₄	56	12-	Dic14:1C6	336,19
Dic₁₄:₂C₆ = D₄:₂F₇	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₄	56	12-	Dic14:2C6	336,126
Dic₁₄:₃C₆ = Q₈xF₇	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₄	56	12-	Dic14:3C6	336,127
Dic₁₄:₄C₆ = C₅₆:C₆	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₄	56	6	Dic14:4C6	336,9
Dic₁₄:₅C₆ = C₂xC₄.F₇	φ: C₆/C₂ → C₃ ⊆ Out Dic₁₄	112		Dic14:5C6	336,121
Dic₁₄:₆C₆ = D₂₈:₆C₆	φ: C₆/C₂ → C₃ ⊆ Out Dic₁₄	56	6	Dic14:6C6	336,124
Dic₁₄:₇C₆ = C₃xC₅₆:C₂	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₄	168	2	Dic14:7C6	336,60
Dic₁₄:₈C₆ = C₃xD₄.D₇	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₄	168	4	Dic14:8C6	336,70
Dic₁₄:₉C₆ = C₃xD₄:₂D₇	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₄	168	4	Dic14:9C6	336,179
Dic₁₄:₁₀C₆ = C₃xQ₈xD₇	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₄	168	4	Dic14:10C6	336,180
Dic₁₄:₁₁C₆ = C₃xC₄oD₂₈	φ: trivial image	168	2	Dic14:11C6	336,177

Non-split extensions G=N.Q with N=Dic₁₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄.₁C₆ = Q₈.₂F₇	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₄	112	12-	Dic14.1C6	336,21
Dic₁₄.₂C₆ = C₈.F₇	φ: C₆/C₁ → C₆ ⊆ Out Dic₁₄	112	6-	Dic14.2C6	336,11
Dic₁₄.₃C₆ = C₃xDic₂₈	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₄	336	2	Dic14.3C6	336,62
Dic₁₄.₄C₆ = C₃xC₇:Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₄	336	4	Dic14.4C6	336,72

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