Extensions 1→N→G→Q→1 with N=C₃² and Q=SD₁₆

Direct product G=N×Q with N=C₃² and Q=SD₁₆

		d	ρ	Label	ID
C₃²×SD₁₆		72		C3^2xSD16	144,107

Semidirect products G=N:Q with N=C₃² and Q=SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊SD₁₆ = AΓL₁(𝔽₉)	φ: SD₁₆/C₁ → SD₁₆ ⊆ Aut C₃²	9	8+	C3^2:SD16	144,182
C₃²⋊₂SD₁₆ = C₃²⋊₂SD₁₆	φ: SD₁₆/C₂ → D₄ ⊆ Aut C₃²	24	4-	C3^2:2SD16	144,118
C₃²⋊₃SD₁₆ = Dic₆⋊S₃	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:3SD16	144,58
C₃²⋊₄SD₁₆ = D₁₂.S₃	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃²	48	4-	C3^2:4SD16	144,59
C₃²⋊₅SD₁₆ = C₃²⋊₅SD₁₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃²	24	4+	C3^2:5SD16	144,60
C₃²⋊₆SD₁₆ = C₃×C₂₄⋊C₂	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃²	48	2	C3^2:6SD16	144,71
C₃²⋊₇SD₁₆ = C₂₄⋊₂S₃	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃²	72		C3^2:7SD16	144,87
C₃²⋊₈SD₁₆ = C₃×D₄.S₃	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃²	24	4	C3^2:8SD16	144,81
C₃²⋊₉SD₁₆ = C₃²⋊₉SD₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃²	72		C3^2:9SD16	144,97
C₃²⋊₁₀SD₁₆ = C₃×Q₈⋊₂S₃	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₃²	48	4	C3^2:10SD16	144,82
C₃²⋊₁₁SD₁₆ = C₃²⋊₁₁SD₁₆	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₃²	72		C3^2:11SD16	144,98

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