Extensions 1→N→G→Q→1 with N=C₇ and Q=D₄:₂S₃

Direct product G=NxQ with N=C₇ and Q=D₄:₂S₃

		d	ρ	Label	ID
C₇xD₄:₂S₃		168	4	C7xD4:2S3	336,189

Semidirect products G=N:Q with N=C₇ and Q=D₄:₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:₁(D₄:₂S₃) = D₂₈:S₃	φ: D₄:₂S₃/Dic₆ → C₂ ⊆ Aut C₇	168	4	C7:1(D4:2S3)	336,139
C₇:₂(D₄:₂S₃) = D₂₈:₅S₃	φ: D₄:₂S₃/C₄xS₃ → C₂ ⊆ Aut C₇	168	4-	C7:2(D4:2S3)	336,138
C₇:₃(D₄:₂S₃) = Dic₇.D₆	φ: D₄:₂S₃/C₂xDic₃ → C₂ ⊆ Aut C₇	168	4	C7:3(D4:2S3)	336,152
C₇:₄(D₄:₂S₃) = C₄₂.C₂³	φ: D₄:₂S₃/C₃:D₄ → C₂ ⊆ Aut C₇	168	4-	C7:4(D4:2S3)	336,153
C₇:₅(D₄:₂S₃) = D₄:₂D₂₁	φ: D₄:₂S₃/C₃xD₄ → C₂ ⊆ Aut C₇	168	4-	C7:5(D4:2S3)	336,199

׿

x

:

Z

F

o

wr

Q

<