Extensions 1→N→G→Q→1 with N=C₃² and Q=2_-¹⁺⁴

Direct product G=N×Q with N=C₃² and Q=2_-¹⁺⁴

		d	ρ	Label	ID
C₃²×2_-¹⁺⁴		144		C3^2xES-(2,2)	288,1023

Semidirect products G=N:Q with N=C₃² and Q=2_-¹⁺⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁2_-¹⁺⁴ = D₁₂.₃₃D₆	φ: 2_-¹⁺⁴/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:1ES-(2,2)	288,945
C₃²⋊₂2_-¹⁺⁴ = D₁₂.₃₄D₆	φ: 2_-¹⁺⁴/C₂×C₄ → C₂² ⊆ Aut C₃²	48	4-	C3^2:2ES-(2,2)	288,946
C₃²⋊₃2_-¹⁺⁴ = Dic₆.₂₄D₆	φ: 2_-¹⁺⁴/D₄ → C₂² ⊆ Aut C₃²	48	8-	C3^2:3ES-(2,2)	288,957
C₃²⋊₄2_-¹⁺⁴ = D₁₂.₂₅D₆	φ: 2_-¹⁺⁴/Q₈ → C₂² ⊆ Aut C₃²	48	8-	C3^2:4ES-(2,2)	288,963
C₃²⋊₅2_-¹⁺⁴ = Dic₆.₂₆D₆	φ: 2_-¹⁺⁴/Q₈ → C₂² ⊆ Aut C₃²	48	8+	C3^2:5ES-(2,2)	288,964
C₃²⋊₆2_-¹⁺⁴ = C₃×Q₈.₁₅D₆	φ: 2_-¹⁺⁴/C₂×Q₈ → C₂ ⊆ Aut C₃²	48	4	C3^2:6ES-(2,2)	288,997
C₃²⋊₇2_-¹⁺⁴ = C₃²⋊₇2_-¹⁺⁴	φ: 2_-¹⁺⁴/C₂×Q₈ → C₂ ⊆ Aut C₃²	144		C3^2:7ES-(2,2)	288,1012
C₃²⋊₈2_-¹⁺⁴ = C₃×Q₈○D₁₂	φ: 2_-¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₃²	48	4	C3^2:8ES-(2,2)	288,1000
C₃²⋊₉2_-¹⁺⁴ = C₃²⋊₉2_-¹⁺⁴	φ: 2_-¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₃²	144		C3^2:9ES-(2,2)	288,1015

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