Extensions 1→N→G→Q→1 with N=Q₈:D₇ and Q=C₂

Direct product G=NxQ with N=Q₈:D₇ and Q=C₂

		d	ρ	Label	ID
C₂xQ₈:D₇		112		C2xQ8:D7	224,136

Semidirect products G=N:Q with N=Q₈:D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:D₇:₁C₂ = D₇xSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈:D₇	56	4	Q8:D7:1C2	224,108
Q₈:D₇:₂C₂ = D₅₆:C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈:D₇	56	4+	Q8:D7:2C2	224,109
Q₈:D₇:₃C₂ = Q₁₆:D₇	φ: C₂/C₁ → C₂ ⊆ Out Q₈:D₇	112	4	Q8:D7:3C2	224,113
Q₈:D₇:₄C₂ = Q₈.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈:D₇	112	4+	Q8:D7:4C2	224,114
Q₈:D₇:₅C₂ = C₂₈.C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈:D₇	112	4	Q8:D7:5C2	224,137
Q₈:D₇:₆C₂ = D₄:D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈:D₇	56	4+	Q8:D7:6C2	224,144
Q₈:D₇:₇C₂ = D₄.₈D₁₄	φ: trivial image	112	4	Q8:D7:7C2	224,145

׿

x

:

Z

F

o

wr

Q

<