Extensions 1→N→G→Q→1 with N=S₃×C₈ and Q=C₂

Direct product G=N×Q with N=S₃×C₈ and Q=C₂

		d	ρ	Label	ID
S₃×C₂×C₈		48		S3xC2xC8	96,106

Semidirect products G=N:Q with N=S₃×C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₈)⋊₁C₂ = S₃×D₈	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₈	24	4+	(S3xC8):1C2	96,117
(S₃×C₈)⋊₂C₂ = D₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₈	48	4-	(S3xC8):2C2	96,119
(S₃×C₈)⋊₃C₂ = D₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₈	48	4+	(S3xC8):3C2	96,126
(S₃×C₈)⋊₄C₂ = S₃×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₈	24	4	(S3xC8):4C2	96,120
(S₃×C₈)⋊₅C₂ = Q₈.₇D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₈	48	4	(S3xC8):5C2	96,123
(S₃×C₈)⋊₆C₂ = C₈○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₈	48	2	(S3xC8):6C2	96,108
(S₃×C₈)⋊₇C₂ = S₃×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₈	24	4	(S3xC8):7C2	96,113
(S₃×C₈)⋊₈C₂ = D₁₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₈	48	4	(S3xC8):8C2	96,114

Non-split extensions G=N.Q with N=S₃×C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₈).₁C₂ = S₃×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₈	48	4-	(S3xC8).1C2	96,124
(S₃×C₈).₂C₂ = D₆.C₈	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₈	48	2	(S3xC8).2C2	96,5
(S₃×C₈).₃C₂ = S₃×C₁₆	φ: trivial image	48	2	(S3xC8).3C2	96,4

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