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		C2xS3^2: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 = S₃²⋊D₄	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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