Extensions 1→N→G→Q→1 with N=S₃×C₃₄ and Q=C₂

Direct product G=N×Q with N=S₃×C₃₄ and Q=C₂

		d	ρ	Label	ID
S₃×C₂×C₃₄		204		S3xC2xC34	408,44

Semidirect products G=N:Q with N=S₃×C₃₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃₄)⋊₁C₂ = C₅₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₄	204	4-	(S3xC34):1C2	408,10
(S₃×C₃₄)⋊₂C₂ = C₁₇⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₄	204	4+	(S3xC34):2C2	408,12
(S₃×C₃₄)⋊₃C₂ = C₂×S₃×D₁₇	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₄	102	4+	(S3xC34):3C2	408,41
(S₃×C₃₄)⋊₄C₂ = C₁₇×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₄	204	2	(S3xC34):4C2	408,22
(S₃×C₃₄)⋊₅C₂ = C₁₇×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₄	204	2	(S3xC34):5C2	408,24

Non-split extensions G=N.Q with N=S₃×C₃₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃₄).C₂ = S₃×Dic₁₇	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃₄	204	4-	(S3xC34).C2	408,8
(S₃×C₃₄).₂C₂ = S₃×C₆₈	φ: trivial image	204	2	(S3xC34).2C2	408,21

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