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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₇)⋊C₆ = S₃×F₇	φ: C₆/C₁ → C₆ ⊆ Out C₃×D₇	21	12+	(C3xD7):C6	252,26
(C₃×D₇)⋊₂C₆ = C₆×F₇	φ: C₆/C₂ → C₃ ⊆ Out C₃×D₇	42	6	(C3xD7):2C6	252,28
(C₃×D₇)⋊₃C₆ = C₃×S₃×D₇	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₇	42	4	(C3xD7):3C6	252,33

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₇).C₆ = C₂×C₇⋊C₁₈	φ: C₆/C₂ → C₃ ⊆ Out C₃×D₇	126	6	(C3xD7).C6	252,7
(C₃×D₇).₂C₆ = D₇×C₁₈	φ: trivial image	126	2	(C3xD7).2C6	252,12

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