Extensions 1→N→G→Q→1 with N=C₃⋊S₃ and Q=D₄

Direct product G=N×Q with N=C₃⋊S₃ and Q=D₄

		d	ρ	Label	ID
D₄×C₃⋊S₃		36		D4xC3:S3	144,172

Semidirect products G=N:Q with N=C₃⋊S₃ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊D₄ = C₂×S₃≀C₂	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊S₃	12	4+	C3:S3:D4	144,186
C₃⋊S₃⋊₂D₄ = D₆⋊D₆	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊S₃	24	4	C3:S3:2D4	144,145
C₃⋊S₃⋊₃D₄ = Dic₃⋊D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊S₃	12	4+	C3:S3:3D4	144,154

Non-split extensions G=N.Q with N=C₃⋊S₃ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.D₄ = AΓL₁(𝔽₉)	φ: D₄/C₁ → D₄ ⊆ Out C₃⋊S₃	9	8+	C3:S3.D4	144,182
C₃⋊S₃.₂D₄ = S₃²⋊C₄	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊S₃	12	4+	C3:S3.2D4	144,115
C₃⋊S₃.₃D₄ = C₂.PSU₃(𝔽₂)	φ: D₄/C₂ → C₂² ⊆ Out C₃⋊S₃	24	8+	C3:S3.3D4	144,120
C₃⋊S₃.₄D₄ = C₄⋊(C₃²⋊C₄)	φ: D₄/C₄ → C₂ ⊆ Out C₃⋊S₃	24	4	C3:S3.4D4	144,133
C₃⋊S₃.₅D₄ = C₆²⋊C₄	φ: D₄/C₂² → C₂ ⊆ Out C₃⋊S₃	12	4+	C3:S3.5D4	144,136

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