Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xC₇:C₃

Direct product G=NxQ with N=C₃ and Q=S₃xC₇:C₃

		d	ρ	Label	ID
C₃xS₃xC₇:C₃		42	6	C3xS3xC7:C3	378,48

Semidirect products G=N:Q with N=C₃ and Q=S₃xC₇:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(S₃xC₇:C₃) = C₃:S₃xC₇:C₃	φ: S₃xC₇:C₃/C₃xC₇:C₃ → C₂ ⊆ Aut C₃	63		C3:(S3xC7:C3)	378,50

Non-split extensions G=N.Q with N=C₃ and Q=S₃xC₇:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃xC₇:C₃) = C₆₃:C₆	φ: S₃xC₇:C₃/C₃xC₇:C₃ → C₂ ⊆ Aut C₃	63	6	C3.1(S3xC7:C3)	378,13
C₃.₂(S₃xC₇:C₃) = C₆₃:₆C₆	φ: S₃xC₇:C₃/C₃xC₇:C₃ → C₂ ⊆ Aut C₃	63	6	C3.2(S3xC7:C3)	378,14
C₃.₃(S₃xC₇:C₃) = D₉xC₇:C₃	φ: S₃xC₇:C₃/C₃xC₇:C₃ → C₂ ⊆ Aut C₃	63	6	C3.3(S3xC7:C3)	378,15
C₃.₄(S₃xC₇:C₃) = C₇:He₃:C₂	φ: S₃xC₇:C₃/C₃xC₇:C₃ → C₂ ⊆ Aut C₃	63	6	C3.4(S3xC7:C3)	378,17
C₃.₅(S₃xC₇:C₃) = S₃xC₇:C₉	central extension (φ=1)	126	6	C3.5(S3xC7:C3)	378,16

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