Extensions 1→N→G→Q→1 with N=C₃² and Q=D₄

Direct product G=N×Q with N=C₃² and Q=D₄

		d	ρ	Label	ID
D₄×C₃²		36		D4xC3^2	72,37

Semidirect products G=N:Q with N=C₃² and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊D₄ = S₃≀C₂	φ: D₄/C₁ → D₄ ⊆ Aut C₃²	6	4+	C3^2:D4	72,40
C₃²⋊₂D₄ = D₆⋊S₃	φ: D₄/C₂ → C₂² ⊆ Aut C₃²	24	4-	C3^2:2D4	72,22
C₃²⋊₃D₄ = C₃⋊D₁₂	φ: D₄/C₂ → C₂² ⊆ Aut C₃²	12	4+	C3^2:3D4	72,23
C₃²⋊₄D₄ = C₃×D₁₂	φ: D₄/C₄ → C₂ ⊆ Aut C₃²	24	2	C3^2:4D4	72,28
C₃²⋊₅D₄ = C₁₂⋊S₃	φ: D₄/C₄ → C₂ ⊆ Aut C₃²	36		C3^2:5D4	72,33
C₃²⋊₆D₄ = C₃×C₃⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃²	12	2	C3^2:6D4	72,30
C₃²⋊₇D₄ = C₃²⋊₇D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₃²	36		C3^2:7D4	72,35

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