Extensions 1→N→G→Q→1 with N=(S₃²)⋊C₄ and Q=C₂

Direct product G=N×Q with N=(S₃²)⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×(S₃²)⋊C₄		24		C2x(S3^2):C4	288,880

Semidirect products G=N:Q with N=(S₃²)⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃²)⋊C₄⋊₁C₂ = C₄.₄S₃≀C₂	φ: C₂/C₁ → C₂ ⊆ Out (S₃²)⋊C₄	24	8+	(S3^2):C4:1C2	288,869
(S₃²)⋊C₄⋊₂C₂ = D₆≀C₂	φ: C₂/C₁ → C₂ ⊆ Out (S₃²)⋊C₄	12	4+	(S3^2):C4:2C2	288,889
(S₃²)⋊C₄⋊₃C₂ = C₆²⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out (S₃²)⋊C₄	24	8+	(S3^2):C4:3C2	288,890
(S₃²)⋊C₄⋊₄C₂ = C₄⋊S₃≀C₂	φ: C₂/C₁ → C₂ ⊆ Out (S₃²)⋊C₄	24	4	(S3^2):C4:4C2	288,878
(S₃²)⋊C₄⋊₅C₂ = C₆².₉D₄	φ: C₂/C₁ → C₂ ⊆ Out (S₃²)⋊C₄	24	4	(S3^2):C4:5C2	288,881
(S₃²)⋊C₄⋊₆C₂ = C₄×S₃≀C₂	φ: trivial image	24	4	(S3^2):C4:6C2	288,877

Non-split extensions G=N.Q with N=(S₃²)⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃²)⋊C₄.C₂ = (S₃²)⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out (S₃²)⋊C₄	24	4	(S3^2):C4.C2	288,868

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