Extensions 1→N→G→Q→1 with N=C₆×D₇ and Q=C₃

Direct product G=N×Q with N=C₆×D₇ and Q=C₃

		d	ρ	Label	ID
D₇×C₃×C₆		126		D7xC3xC6	252,41

Semidirect products G=N:Q with N=C₆×D₇ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₇)⋊C₃ = C₆×F₇	φ: C₃/C₁ → C₃ ⊆ Out C₆×D₇	42	6	(C6xD7):C3	252,28

Non-split extensions G=N.Q with N=C₆×D₇ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₇).C₃ = C₂×C₇⋊C₁₈	φ: C₃/C₁ → C₃ ⊆ Out C₆×D₇	126	6	(C6xD7).C3	252,7
(C₆×D₇).₂C₃ = D₇×C₁₈	φ: trivial image	126	2	(C6xD7).2C3	252,12

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Extensions 1→N→G→Q→1 with N=C6×D7 and Q=C3