Extensions 1→N→G→Q→1 with N=C₇ and Q=C₃×C₆

Direct product G=N×Q with N=C₇ and Q=C₃×C₆

		d	ρ	Label	ID
C₃×C₄₂		126		C3xC42	126,16

Semidirect products G=N:Q with N=C₇ and Q=C₃×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊(C₃×C₆) = C₃×F₇	φ: C₃×C₆/C₃ → C₆ ⊆ Aut C₇	21	6	C7:(C3xC6)	126,7
C₇⋊₂(C₃×C₆) = C₆×C₇⋊C₃	φ: C₃×C₆/C₆ → C₃ ⊆ Aut C₇	42	3	C7:2(C3xC6)	126,10
C₇⋊₃(C₃×C₆) = C₃²×D₇	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₇	63		C7:3(C3xC6)	126,11

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