Extensions 1→N→G→Q→1 with N=C₃xC₇:C₃ and Q=S₃

Direct product G=NxQ with N=C₃xC₇:C₃ and Q=S₃

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

Semidirect products G=N:Q with N=C₃xC₇:C₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₇:C₃):₁S₃ = C₃²:F₇	φ: S₃/C₁ → S₃ ⊆ Out C₃xC₇:C₃	63	6+	(C3xC7:C3):1S3	378,22
(C₃xC₇:C₃):₂S₃ = C₇:He₃:C₂	φ: S₃/C₁ → S₃ ⊆ Out C₃xC₇:C₃	63	6	(C3xC7:C3):2S3	378,17
(C₃xC₇:C₃):₃S₃ = C₃²:₄F₇	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₇:C₃	63		(C3xC7:C3):3S3	378,51
(C₃xC₇:C₃):₄S₃ = C₃xC₃:F₇	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₇:C₃	42	6	(C3xC7:C3):4S3	378,49
(C₃xC₇:C₃):₅S₃ = C₃:S₃xC₇:C₃	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₇:C₃	63		(C3xC7:C3):5S3	378,50

Non-split extensions G=N.Q with N=C₃xC₇:C₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₇:C₃).₁S₃ = C₉:F₇	φ: S₃/C₁ → S₃ ⊆ Out C₃xC₇:C₃	63	6+	(C3xC7:C3).1S3	378,18
(C₃xC₇:C₃).₂S₃ = C₉:₂F₇	φ: S₃/C₁ → S₃ ⊆ Out C₃xC₇:C₃	63	6+	(C3xC7:C3).2S3	378,19
(C₃xC₇:C₃).₃S₃ = C₆₃:C₆	φ: S₃/C₁ → S₃ ⊆ Out C₃xC₇:C₃	63	6	(C3xC7:C3).3S3	378,13
(C₃xC₇:C₃).₄S₃ = C₆₃:₆C₆	φ: S₃/C₁ → S₃ ⊆ Out C₃xC₇:C₃	63	6	(C3xC7:C3).4S3	378,14
(C₃xC₇:C₃).₅S₃ = C₉:₅F₇	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₇:C₃	63	6+	(C3xC7:C3).5S3	378,20
(C₃xC₇:C₃).₆S₃ = D₉xC₇:C₃	φ: S₃/C₃ → C₂ ⊆ Out C₃xC₇:C₃	63	6	(C3xC7:C3).6S3	378,15

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