Extensions 1→N→G→Q→1 with N=C₂×C₇⋊C₃ and Q=S₃

Direct product G=N×Q with N=C₂×C₇⋊C₃ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×C₇⋊C₃		42	6	C2xS3xC7:C3	252,29

Semidirect products G=N:Q with N=C₂×C₇⋊C₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊C₃)⋊S₃ = C₂×C₃⋊F₇	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₇⋊C₃	42	6+	(C2xC7:C3):S3	252,30

Non-split extensions G=N.Q with N=C₂×C₇⋊C₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊C₃).S₃ = C₆.F₇	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₇⋊C₃	84	6-	(C2xC7:C3).S3	252,18
(C₂×C₇⋊C₃).₂S₃ = Dic₃×C₇⋊C₃	φ: trivial image	84	6	(C2xC7:C3).2S3	252,17

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Extensions 1→N→G→Q→1 with N=C2×C7⋊C3 and Q=S3