Extensions 1→N→G→Q→1 with N=D₃₈ and Q=S₃

Direct product G=N×Q with N=D₃₈ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×D₁₉		114	4+	C2xS3xD19	456,47

Semidirect products G=N:Q with N=D₃₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₈⋊₁S₃ = C₅₇⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out D₃₈	228	4-	D38:1S3	456,15
D₃₈⋊₂S₃ = C₃⋊D₇₆	φ: S₃/C₃ → C₂ ⊆ Out D₃₈	228	4+	D38:2S3	456,16

Non-split extensions G=N.Q with N=D₃₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₈.S₃ = Dic₃×D₁₉	φ: trivial image	228	4-	D38.S3	456,12

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Extensions 1→N→G→Q→1 with N=D38 and Q=S3