Extensions 1→N→G→Q→1 with N=S₃×C₃₈ and Q=C₂

Direct product G=N×Q with N=S₃×C₃₈ and Q=C₂

		d	ρ	Label	ID
S₃×C₂×C₃₈		228		S3xC2xC38	456,52

Semidirect products G=N:Q with N=S₃×C₃₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃₈)⋊₁C₂ = C₅₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₈	228	4-	(S3xC38):1C2	456,15
(S₃×C₃₈)⋊₂C₂ = C₁₉⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₈	228	4+	(S3xC38):2C2	456,17
(S₃×C₃₈)⋊₃C₂ = C₂×S₃×D₁₉	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₈	114	4+	(S3xC38):3C2	456,47
(S₃×C₃₈)⋊₄C₂ = C₁₉×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₈	228	2	(S3xC38):4C2	456,31
(S₃×C₃₈)⋊₅C₂ = C₁₉×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₈	228	2	(S3xC38):5C2	456,33

Non-split extensions G=N.Q with N=S₃×C₃₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃₈).C₂ = S₃×Dic₁₉	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₈	228	4-	(S3xC38).C2	456,13
(S₃×C₃₈).₂C₂ = S₃×C₇₆	φ: trivial image	228	2	(S3xC38).2C2	456,30

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