Extensions 1→N→G→Q→1 with N=C₃xD₇ and Q=C₆

Direct product G=NxQ with N=C₃xD₇ and Q=C₆

		d	ρ	Label	ID
D₇xC₃xC₆		126		D7xC3xC6	252,41

Semidirect products G=N:Q with N=C₃xD₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₇):C₆ = S₃xF₇	φ: C₆/C₁ → C₆ ⊆ Out C₃xD₇	21	12+	(C3xD7):C6	252,26
(C₃xD₇):₂C₆ = C₆xF₇	φ: C₆/C₂ → C₃ ⊆ Out C₃xD₇	42	6	(C3xD7):2C6	252,28
(C₃xD₇):₃C₆ = C₃xS₃xD₇	φ: C₆/C₃ → C₂ ⊆ Out C₃xD₇	42	4	(C3xD7):3C6	252,33

Non-split extensions G=N.Q with N=C₃xD₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₇).C₆ = C₂xC₇:C₁₈	φ: C₆/C₂ → C₃ ⊆ Out C₃xD₇	126	6	(C3xD7).C6	252,7
(C₃xD₇).₂C₆ = D₇xC₁₈	φ: trivial image	126	2	(C3xD7).2C6	252,12

Extensions 1→N→G→Q→1 with N=C3xD7 and Q=C6