Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂xC₁₂

Direct product G=NxQ with N=C₇ and Q=C₂xC₁₂

		d	ρ	Label	ID
C₂xC₈₄		168		C2xC84	168,39

Semidirect products G=N:Q with N=C₇ and Q=C₂xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:₁(C₂xC₁₂) = C₄xF₇	φ: C₂xC₁₂/C₄ → C₆ ⊆ Aut C₇	28	6	C7:1(C2xC12)	168,8
C₇:₂(C₂xC₁₂) = C₂xC₇:C₁₂	φ: C₂xC₁₂/C₂² → C₆ ⊆ Aut C₇	56		C7:2(C2xC12)	168,10
C₇:₃(C₂xC₁₂) = C₂xC₄xC₇:C₃	φ: C₂xC₁₂/C₂xC₄ → C₃ ⊆ Aut C₇	56		C7:3(C2xC12)	168,19
C₇:₄(C₂xC₁₂) = C₁₂xD₇	φ: C₂xC₁₂/C₁₂ → C₂ ⊆ Aut C₇	84	2	C7:4(C2xC12)	168,25
C₇:₅(C₂xC₁₂) = C₆xDic₇	φ: C₂xC₁₂/C₂xC₆ → C₂ ⊆ Aut C₇	168		C7:5(C2xC12)	168,27

׿

x

:

Z

F

o

wr

Q

<