Extensions 1→N→G→Q→1 with N=C₃₈ and Q=S₃

Direct product G=N×Q with N=C₃₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₃₈		114	2	S3xC38	228,13

Semidirect products G=N:Q with N=C₃₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈⋊S₃ = D₁₁₄	φ: S₃/C₃ → C₂ ⊆ Aut C₃₈	114	2+	C38:S3	228,14

Non-split extensions G=N.Q with N=C₃₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₈.S₃ = Dic₅₇	φ: S₃/C₃ → C₂ ⊆ Aut C₃₈	228	2-	C38.S3	228,5
C₃₈.₂S₃ = Dic₃×C₁₉	central extension (φ=1)	228	2	C38.2S3	228,3

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Extensions 1→N→G→Q→1 with N=C38 and Q=S3