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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆×D₇) = C₃×S₃×D₇	φ: C₆×D₇/C₃×D₇ → C₂ ⊆ Aut C₃	42	4	C3:1(C6xD7)	252,33
C₃⋊₂(C₆×D₇) = C₆×D₂₁	φ: C₆×D₇/C₄₂ → C₂ ⊆ Aut C₃	84	2	C3:2(C6xD7)	252,43

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆×D₇) = D₇×C₁₈	central extension (φ=1)	126	2	C3.(C6xD7)	252,12

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