Extensions 1→N→G→Q→1 with N=C₆ and Q=S₃×C₇

Direct product G=N×Q with N=C₆ and Q=S₃×C₇

		d	ρ	Label	ID
S₃×C₄₂		84	2	S3xC42	252,42

Semidirect products G=N:Q with N=C₆ and Q=S₃×C₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(S₃×C₇) = C₁₄×C₃⋊S₃	φ: S₃×C₇/C₂₁ → C₂ ⊆ Aut C₆	126		C6:(S3xC7)	252,44

Non-split extensions G=N.Q with N=C₆ and Q=S₃×C₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(S₃×C₇) = C₇×Dic₉	φ: S₃×C₇/C₂₁ → C₂ ⊆ Aut C₆	252	2	C6.1(S3xC7)	252,3
C₆.₂(S₃×C₇) = C₁₄×D₉	φ: S₃×C₇/C₂₁ → C₂ ⊆ Aut C₆	126	2	C6.2(S3xC7)	252,13
C₆.₃(S₃×C₇) = C₇×C₃⋊Dic₃	φ: S₃×C₇/C₂₁ → C₂ ⊆ Aut C₆	252		C6.3(S3xC7)	252,23
C₆.₄(S₃×C₇) = Dic₃×C₂₁	central extension (φ=1)	84	2	C6.4(S3xC7)	252,21

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Extensions 1→N→G→Q→1 with N=C6 and Q=S3×C7