Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂²xC₆

Direct product G=NxQ with N=C₇ and Q=C₂²xC₆

		d	ρ	Label	ID
C₂²xC₄₂		168		C2^2xC42	168,57

Semidirect products G=N:Q with N=C₇ and Q=C₂²xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:(C₂²xC₆) = C₂²xF₇	φ: C₂²xC₆/C₂² → C₆ ⊆ Aut C₇	28		C7:(C2^2xC6)	168,47
C₇:₂(C₂²xC₆) = C₂³xC₇:C₃	φ: C₂²xC₆/C₂³ → C₃ ⊆ Aut C₇	56		C7:2(C2^2xC6)	168,51
C₇:₃(C₂²xC₆) = C₂xC₆xD₇	φ: C₂²xC₆/C₂xC₆ → C₂ ⊆ Aut C₇	84		C7:3(C2^2xC6)	168,54

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