Extensions 1→N→G→Q→1 with N=Dic₇ and Q=D₆

Direct product G=NxQ with N=Dic₇ and Q=D₆

		d	ρ	Label	ID
C₂xS₃xDic₇		168		C2xS3xDic7	336,154

Semidirect products G=N:Q with N=Dic₇ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇:₁D₆ = S₃xC₇:D₄	φ: D₆/S₃ → C₂ ⊆ Out Dic₇	84	4	Dic7:1D6	336,162
Dic₇:₂D₆ = D₆:D₁₄	φ: D₆/S₃ → C₂ ⊆ Out Dic₇	84	4+	Dic7:2D6	336,163
Dic₇:₃D₆ = D₇xD₁₂	φ: D₆/C₆ → C₂ ⊆ Out Dic₇	84	4+	Dic7:3D6	336,148
Dic₇:₄D₆ = C₂xC₇:D₁₂	φ: D₆/C₆ → C₂ ⊆ Out Dic₇	168		Dic7:4D6	336,159
Dic₇:₅D₆ = C₄xS₃xD₇	φ: trivial image	84	4	Dic7:5D6	336,147
Dic₇:₆D₆ = C₂xD₂₁:C₄	φ: trivial image	168		Dic7:6D6	336,156

Non-split extensions G=N.Q with N=Dic₇ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.₁D₆ = S₃xDic₁₄	φ: D₆/S₃ → C₂ ⊆ Out Dic₇	168	4-	Dic7.1D6	336,140
Dic₇.₂D₆ = D₁₂:D₇	φ: D₆/S₃ → C₂ ⊆ Out Dic₇	168	4	Dic7.2D6	336,141
Dic₇.₃D₆ = D₈₄:C₂	φ: D₆/S₃ → C₂ ⊆ Out Dic₇	168	4+	Dic7.3D6	336,142
Dic₇.₄D₆ = D₂₁:Q₈	φ: D₆/S₃ → C₂ ⊆ Out Dic₇	168	4	Dic7.4D6	336,143
Dic₇.₅D₆ = Dic₇.D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₇	168	4	Dic7.5D6	336,152
Dic₇.₆D₆ = C₄₂.C₂³	φ: D₆/S₃ → C₂ ⊆ Out Dic₇	168	4-	Dic7.6D6	336,153
Dic₇.₇D₆ = D₇xDic₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₇	168	4-	Dic7.7D6	336,137
Dic₇.₈D₆ = D₆.D₁₄	φ: D₆/C₆ → C₂ ⊆ Out Dic₇	168	4	Dic7.8D6	336,144
Dic₇.₉D₆ = Dic₃.D₁₄	φ: D₆/C₆ → C₂ ⊆ Out Dic₇	168	4	Dic7.9D6	336,155
Dic₇.₁₀D₆ = C₂xC₂₁:Q₈	φ: D₆/C₆ → C₂ ⊆ Out Dic₇	336		Dic7.10D6	336,160
Dic₇.₁₁D₆ = D₁₂:₅D₇	φ: trivial image	168	4-	Dic7.11D6	336,145
Dic₇.₁₂D₆ = D₁₄.D₆	φ: trivial image	168	4+	Dic7.12D6	336,146

׿

x

:

Z

F

o

wr

Q

<