Extensions 1→N→G→Q→1 with N=C₃×C₇⋊C₃ and Q=S₃

Direct product G=N×Q with N=C₃×C₇⋊C₃ and Q=S₃

		d	ρ	Label	ID
C₃×S₃×C₇⋊C₃		42	6	C3xS3xC7:C3	378,48

Semidirect products G=N:Q with N=C₃×C₇⋊C₃ and Q=S₃

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

Non-split extensions G=N.Q with N=C₃×C₇⋊C₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₇⋊C₃).₁S₃ = C₉⋊F₇	φ: S₃/C₁ → S₃ ⊆ Out C₃×C₇⋊C₃	63	6+	(C3xC7:C3).1S3	378,18
(C₃×C₇⋊C₃).₂S₃ = C₉⋊₂F₇	φ: S₃/C₁ → S₃ ⊆ Out C₃×C₇⋊C₃	63	6+	(C3xC7:C3).2S3	378,19
(C₃×C₇⋊C₃).₃S₃ = C₆₃⋊C₆	φ: S₃/C₁ → S₃ ⊆ Out C₃×C₇⋊C₃	63	6	(C3xC7:C3).3S3	378,13
(C₃×C₇⋊C₃).₄S₃ = C₆₃⋊₆C₆	φ: S₃/C₁ → S₃ ⊆ Out C₃×C₇⋊C₃	63	6	(C3xC7:C3).4S3	378,14
(C₃×C₇⋊C₃).₅S₃ = C₉⋊₅F₇	φ: S₃/C₃ → C₂ ⊆ Out C₃×C₇⋊C₃	63	6+	(C3xC7:C3).5S3	378,20
(C₃×C₇⋊C₃).₆S₃ = D₉×C₇⋊C₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×C₇⋊C₃	63	6	(C3xC7:C3).6S3	378,15

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