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

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

		d	ρ	Label	ID
C₆×Dic₁₄		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 = Q₈×F₇	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 = C₂×C₄.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 = C₃×C₅₆⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₄	168	2	Dic14:7C6	336,60
Dic₁₄⋊₈C₆ = C₃×D₄.D₇	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₄	168	4	Dic14:8C6	336,70
Dic₁₄⋊₉C₆ = C₃×D₄⋊₂D₇	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₄	168	4	Dic14:9C6	336,179
Dic₁₄⋊₁₀C₆ = C₃×Q₈×D₇	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₄	168	4	Dic14:10C6	336,180
Dic₁₄⋊₁₁C₆ = C₃×C₄○D₂₈	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 = C₃×Dic₂₈	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₄	336	2	Dic14.3C6	336,62
Dic₁₄.₄C₆ = C₃×C₇⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₄	336	4	Dic14.4C6	336,72

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