Extensions 1→N→G→Q→1 with N=C₈.C₄ and Q=S₃

Direct product G=N×Q with N=C₈.C₄ and Q=S₃

		d	ρ	Label	ID
S₃×C₈.C₄		48	4	S3xC8.C4	192,451

Semidirect products G=N:Q with N=C₈.C₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₄⋊₁S₃ = D₂₄.C₄	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₄	48	4+	C8.C4:1S3	192,54
C₈.C₄⋊₂S₃ = Dic₁₂.C₄	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₄	96	4	C8.C4:2S3	192,56
C₈.C₄⋊₃S₃ = M₄(2).₂₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4:3S3	192,452
C₈.C₄⋊₄S₃ = D₂₄⋊₁₀C₄	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4:4S3	192,453
C₈.C₄⋊₅S₃ = C₂₄.₁₈D₄	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₄	96	4-	C8.C4:5S3	192,455
C₈.C₄⋊₆S₃ = C₂₄.₁₉D₄	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₄	48	4+	C8.C4:6S3	192,456
C₈.C₄⋊₇S₃ = C₂₄.₄₂D₄	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4:7S3	192,457
C₈.C₄⋊₈S₃ = D₂₄⋊₇C₄	φ: trivial image	48	4	C8.C4:8S3	192,454

Non-split extensions G=N.Q with N=C₈.C₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₄.₁S₃ = C₂₄.₇Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₄	96	4	C8.C4.1S3	192,52
C₈.C₄.₂S₃ = C₂₄.₆Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₄	48	4	C8.C4.2S3	192,53
C₈.C₄.₃S₃ = C₂₄.₈D₄	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₄	96	4-	C8.C4.3S3	192,55

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