Extensions 1→N→G→Q→1 with N=Dic₆ and Q=D₇

Direct product G=N×Q with N=Dic₆ and Q=D₇

		d	ρ	Label	ID
D₇×Dic₆		168	4-	D7xDic6	336,137

Semidirect products G=N:Q with N=Dic₆ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁D₇ = Dic₆⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out Dic₆	168	4+	Dic6:1D7	336,37
Dic₆⋊₂D₇ = C₂₈.D₆	φ: D₇/C₇ → C₂ ⊆ Out Dic₆	168	4	Dic6:2D7	336,32
Dic₆⋊₃D₇ = D₂₈⋊S₃	φ: D₇/C₇ → C₂ ⊆ Out Dic₆	168	4	Dic6:3D7	336,139
Dic₆⋊₄D₇ = D₂₁⋊Q₈	φ: D₇/C₇ → C₂ ⊆ Out Dic₆	168	4	Dic6:4D7	336,143
Dic₆⋊₅D₇ = D₁₄.D₆	φ: trivial image	168	4+	Dic6:5D7	336,146

Non-split extensions G=N.Q with N=Dic₆ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁D₇ = C₇⋊Dic₁₂	φ: D₇/C₇ → C₂ ⊆ Out Dic₆	336	4-	Dic6.1D7	336,40
Dic₆.₂D₇ = C₂₁⋊Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out Dic₆	336	4	Dic6.2D7	336,38

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