Extensions 1→N→G→Q→1 with N=C₂×He₃ and Q=S₃

Direct product G=N×Q with N=C₂×He₃ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×He₃		36	6	C2xS3xHe3	324,139

Semidirect products G=N:Q with N=C₂×He₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃)⋊₁S₃ = C₂×C₃³⋊C₆	φ: S₃/C₁ → S₃ ⊆ Out C₂×He₃	18	6+	(C2xHe3):1S3	324,69
(C₂×He₃)⋊₂S₃ = C₂×C₃³⋊S₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×He₃	18	6+	(C2xHe3):2S3	324,77
(C₂×He₃)⋊₃S₃ = C₂×He₃⋊S₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×He₃	54	6+	(C2xHe3):3S3	324,79
(C₂×He₃)⋊₄S₃ = C₂×He₃⋊₄S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×He₃	54		(C2xHe3):4S3	324,144
(C₂×He₃)⋊₅S₃ = C₂×He₃⋊₅S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×He₃	36	6	(C2xHe3):5S3	324,150

Non-split extensions G=N.Q with N=C₂×He₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃).₁S₃ = C₃³⋊C₁₂	φ: S₃/C₁ → S₃ ⊆ Out C₂×He₃	36	6-	(C2xHe3).1S3	324,14
(C₂×He₃).₂S₃ = He₃.Dic₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×He₃	108	6-	(C2xHe3).2S3	324,16
(C₂×He₃).₃S₃ = He₃.₂Dic₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×He₃	108	6-	(C2xHe3).3S3	324,18
(C₂×He₃).₄S₃ = C₃³⋊Dic₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×He₃	36	6-	(C2xHe3).4S3	324,22
(C₂×He₃).₅S₃ = He₃.₃Dic₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×He₃	108	6-	(C2xHe3).5S3	324,23
(C₂×He₃).₆S₃ = He₃⋊Dic₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×He₃	108	6-	(C2xHe3).6S3	324,24
(C₂×He₃).₇S₃ = C₂×He₃.S₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×He₃	54	6+	(C2xHe3).7S3	324,71
(C₂×He₃).₈S₃ = C₂×He₃.₂S₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×He₃	54	6+	(C2xHe3).8S3	324,73
(C₂×He₃).₉S₃ = C₂×He₃.₃S₃	φ: S₃/C₁ → S₃ ⊆ Out C₂×He₃	54	6+	(C2xHe3).9S3	324,78
(C₂×He₃).₁₀S₃ = C₃³⋊₄C₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×He₃	108		(C2xHe3).10S3	324,98
(C₂×He₃).₁₁S₃ = He₃.₄Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×He₃	108	6-	(C2xHe3).11S3	324,101
(C₂×He₃).₁₂S₃ = He₃⋊₆Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×He₃	36	6	(C2xHe3).12S3	324,104
(C₂×He₃).₁₃S₃ = C₂×He₃.₄S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×He₃	54	6+	(C2xHe3).13S3	324,147
(C₂×He₃).₁₄S₃ = Dic₃×He₃	φ: trivial image	36	6	(C2xHe3).14S3	324,93

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