Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂x3_-¹⁺²

Direct product G=NxQ with N=C₃² and Q=C₂x3_-¹⁺²

		d	ρ	Label	ID
C₃xC₆x3_-¹⁺²		162		C3xC6xES-(3,1)	486,252

Semidirect products G=N:Q with N=C₃² and Q=C₂x3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:₁(C₂x3_-¹⁺²) = C₉:He₃:C₂	φ: C₂x3_-¹⁺²/C₉ → C₆ ⊆ Aut C₃²	54	6	C3^2:1(C2xES-(3,1))	486,107
C₃²:₂(C₂x3_-¹⁺²) = C₃⁴.C₆	φ: C₂x3_-¹⁺²/C₃² → C₆ ⊆ Aut C₃²	18	6	C3^2:2(C2xES-(3,1))	486,104
C₃²:₃(C₂x3_-¹⁺²) = C₂xC₉:He₃	φ: C₂x3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₃²	162		C3^2:3(C2xES-(3,1))	486,198
C₃²:₄(C₂x3_-¹⁺²) = C₂xC₃⁴.C₃	φ: C₂x3_-¹⁺²/C₃xC₆ → C₃ ⊆ Aut C₃²	54		C3^2:4(C2xES-(3,1))	486,197
C₃²:₅(C₂x3_-¹⁺²) = C₃xS₃x3_-¹⁺²	φ: C₂x3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₃²	54		C3^2:5(C2xES-(3,1))	486,225
C₃²:₆(C₂x3_-¹⁺²) = C₃:S₃x3_-¹⁺²	φ: C₂x3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₃²	54		C3^2:6(C2xES-(3,1))	486,233

Non-split extensions G=N.Q with N=C₃² and Q=C₂x3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².₁(C₂x3_-¹⁺²) = C₂xHe₃:C₉	φ: C₂x3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₃²	162		C3^2.1(C2xES-(3,1))	486,77
C₃².₂(C₂x3_-¹⁺²) = C₂x3_-¹⁺²:C₉	φ: C₂x3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₃²	162		C3^2.2(C2xES-(3,1))	486,78
C₃².₃(C₂x3_-¹⁺²) = C₂xC₉:3_-¹⁺²	φ: C₂x3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₃²	162		C3^2.3(C2xES-(3,1))	486,200
C₃².₄(C₂x3_-¹⁺²) = C₂xC₃³:C₉	φ: C₂x3_-¹⁺²/C₃xC₆ → C₃ ⊆ Aut C₃²	54		C3^2.4(C2xES-(3,1))	486,73
C₃².₅(C₂x3_-¹⁺²) = C₂xC₃².₁₉He₃	φ: C₂x3_-¹⁺²/C₃xC₆ → C₃ ⊆ Aut C₃²	162		C3^2.5(C2xES-(3,1))	486,74
C₃².₆(C₂x3_-¹⁺²) = C₂xC₃².₂₀He₃	φ: C₂x3_-¹⁺²/C₃xC₆ → C₃ ⊆ Aut C₃²	162		C3^2.6(C2xES-(3,1))	486,75
C₃².₇(C₂x3_-¹⁺²) = C₂xC₂₇:C₉	φ: C₂x3_-¹⁺²/C₃xC₆ → C₃ ⊆ Aut C₃²	54	9	C3^2.7(C2xES-(3,1))	486,82
C₃².₈(C₂x3_-¹⁺²) = C₂xC₃³.₃₁C₃²	φ: C₂x3_-¹⁺²/C₃xC₆ → C₃ ⊆ Aut C₃²	162		C3^2.8(C2xES-(3,1))	486,201
C₃².₉(C₂x3_-¹⁺²) = S₃xC₃²:C₉	φ: C₂x3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₃²	54		C3^2.9(C2xES-(3,1))	486,95
C₃².₁₀(C₂x3_-¹⁺²) = S₃xC₉:C₉	φ: C₂x3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₃²	162		C3^2.10(C2xES-(3,1))	486,97
C₃².₁₁(C₂x3_-¹⁺²) = C₂xC₃.C₉²	central extension (φ=1)	486		C3^2.11(C2xES-(3,1))	486,62
C₃².₁₂(C₂x3_-¹⁺²) = C₆xC₃²:C₉	central extension (φ=1)	162		C3^2.12(C2xES-(3,1))	486,191
C₃².₁₃(C₂x3_-¹⁺²) = C₆xC₉:C₉	central extension (φ=1)	486		C3^2.13(C2xES-(3,1))	486,192

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