Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³×C₆

Direct product G=N×Q with N=C₇ and Q=C₂³×C₆

		d	ρ	Label	ID
C₂³×C₄₂		336		C2^3xC42	336,228

Semidirect products G=N:Q with N=C₇ and Q=C₂³×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊(C₂³×C₆) = C₂³×F₇	φ: C₂³×C₆/C₂³ → C₆ ⊆ Aut C₇	56		C7:(C2^3xC6)	336,216
C₇⋊₂(C₂³×C₆) = C₂⁴×C₇⋊C₃	φ: C₂³×C₆/C₂⁴ → C₃ ⊆ Aut C₇	112		C7:2(C2^3xC6)	336,220
C₇⋊₃(C₂³×C₆) = D₇×C₂²×C₆	φ: C₂³×C₆/C₂²×C₆ → C₂ ⊆ Aut C₇	168		C7:3(C2^3xC6)	336,225

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