Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂²×C₆

Direct product G=N×Q with N=C₇ and Q=C₂²×C₆

		d	ρ	Label	ID
C₂²×C₄₂		168		C2^2xC42	168,57

Semidirect products G=N:Q with N=C₇ and Q=C₂²×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊(C₂²×C₆) = C₂²×F₇	φ: C₂²×C₆/C₂² → C₆ ⊆ Aut C₇	28		C7:(C2^2xC6)	168,47
C₇⋊₂(C₂²×C₆) = C₂³×C₇⋊C₃	φ: C₂²×C₆/C₂³ → C₃ ⊆ Aut C₇	56		C7:2(C2^2xC6)	168,51
C₇⋊₃(C₂²×C₆) = C₂×C₆×D₇	φ: C₂²×C₆/C₂×C₆ → C₂ ⊆ Aut C₇	84		C7:3(C2^2xC6)	168,54

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