Extensions 1→N→G→Q→1 with N=D₁₄ and Q=C₂xC₆

Direct product G=NxQ with N=D₁₄ and Q=C₂xC₆

		d	ρ	Label	ID
D₇xC₂²xC₆		168		D7xC2^2xC6	336,225

Semidirect products G=N:Q with N=D₁₄ and Q=C₂xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄:₁(C₂xC₆) = C₂xC₄:F₇	φ: C₂xC₆/C₂ → C₆ ⊆ Out D₁₄	56		D14:1(C2xC6)	336,123
D₁₄:₂(C₂xC₆) = D₄xF₇	φ: C₂xC₆/C₂ → C₆ ⊆ Out D₁₄	28	12+	D14:2(C2xC6)	336,125
D₁₄:₃(C₂xC₆) = C₂xDic₇:C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Out D₁₄	56		D14:3(C2xC6)	336,130
D₁₄:₄(C₂xC₆) = C₂³xF₇	φ: C₂xC₆/C₂² → C₃ ⊆ Out D₁₄	56		D14:4(C2xC6)	336,216
D₁₄:₅(C₂xC₆) = C₆xD₂₈	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₄	168		D14:5(C2xC6)	336,176
D₁₄:₆(C₂xC₆) = C₃xD₄xD₇	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₄	84	4	D14:6(C2xC6)	336,178
D₁₄:₇(C₂xC₆) = C₆xC₇:D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₄	168		D14:7(C2xC6)	336,183

Non-split extensions G=N.Q with N=D₁₄ and Q=C₂xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.₁(C₂xC₆) = D₂₈:₆C₆	φ: C₂xC₆/C₂ → C₆ ⊆ Out D₁₄	56	6	D14.1(C2xC6)	336,124
D₁₄.₂(C₂xC₆) = D₄:₂F₇	φ: C₂xC₆/C₂ → C₆ ⊆ Out D₁₄	56	12-	D14.2(C2xC6)	336,126
D₁₄.₃(C₂xC₆) = Q₈:₃F₇	φ: C₂xC₆/C₂ → C₆ ⊆ Out D₁₄	56	12+	D14.3(C2xC6)	336,128
D₁₄.₄(C₂xC₆) = C₂xC₄xF₇	φ: C₂xC₆/C₂² → C₃ ⊆ Out D₁₄	56		D14.4(C2xC6)	336,122
D₁₄.₅(C₂xC₆) = Q₈xF₇	φ: C₂xC₆/C₂² → C₃ ⊆ Out D₁₄	56	12-	D14.5(C2xC6)	336,127
D₁₄.₆(C₂xC₆) = C₃xC₄oD₂₈	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₄	168	2	D14.6(C2xC6)	336,177
D₁₄.₇(C₂xC₆) = C₃xD₄:₂D₇	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₄	168	4	D14.7(C2xC6)	336,179
D₁₄.₈(C₂xC₆) = C₃xQ₈:₂D₇	φ: C₂xC₆/C₆ → C₂ ⊆ Out D₁₄	168	4	D14.8(C2xC6)	336,181
D₁₄.₉(C₂xC₆) = D₇xC₂xC₁₂	φ: trivial image	168		D14.9(C2xC6)	336,175
D₁₄.₁₀(C₂xC₆) = C₃xQ₈xD₇	φ: trivial image	168	4	D14.10(C2xC6)	336,180

׿

x

:

Z

F

o

wr

Q

<