Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂²xA₄

Direct product G=NxQ with N=C₇ and Q=C₂²xA₄

		d	ρ	Label	ID
A₄xC₂xC₁₄		84		A4xC2xC14	336,221

Semidirect products G=N:Q with N=C₇ and Q=C₂²xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:(C₂²xA₄) = C₂xD₇:A₄	φ: C₂²xA₄/C₂³ → C₆ ⊆ Aut C₇	42	6+	C7:(C2^2xA4)	336,218
C₇:₂(C₂²xA₄) = C₂²xC₇:A₄	φ: C₂²xA₄/C₂⁴ → C₃ ⊆ Aut C₇	84		C7:2(C2^2xA4)	336,222
C₇:₃(C₂²xA₄) = C₂xA₄xD₇	φ: C₂²xA₄/C₂xA₄ → C₂ ⊆ Aut C₇	42	6+	C7:3(C2^2xA4)	336,217

׿

x

:

Z

F

o

wr

Q

<