Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂xC₄wrC₂

Direct product G=NxQ with N=C₇ and Q=C₂xC₄wrC₂

		d	ρ	Label	ID
C₁₄xC₄wrC₂		112		C14xC4wrC2	448,828

Semidirect products G=N:Q with N=C₇ and Q=C₂xC₄wrC₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:₁(C₂xC₄wrC₂) = D₇xC₄wrC₂	φ: C₂xC₄wrC₂/C₄wrC₂ → C₂ ⊆ Aut C₇	56	4	C7:1(C2xC4wrC2)	448,354
C₇:₂(C₂xC₄wrC₂) = C₂xDic₁₄:C₄	φ: C₂xC₄wrC₂/C₂xC₄² → C₂ ⊆ Aut C₇	112		C7:2(C2xC4wrC2)	448,461
C₇:₃(C₂xC₄wrC₂) = C₂xD₂₈:₄C₄	φ: C₂xC₄wrC₂/C₂xM₄(2) → C₂ ⊆ Aut C₇	112		C7:3(C2xC4wrC2)	448,672
C₇:₄(C₂xC₄wrC₂) = C₂xD₄:₂Dic₇	φ: C₂xC₄wrC₂/C₂xC₄oD₄ → C₂ ⊆ Aut C₇	112		C7:4(C2xC4wrC2)	448,769

׿

x

:

Z

F

o

wr

Q

<