Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂×3_-¹⁺²

Direct product G=N×Q with N=C₃² and Q=C₂×3_-¹⁺²

		d	ρ	Label	ID
C₃×C₆×3_-¹⁺²		162		C3xC6xES-(3,1)	486,252

Semidirect products G=N:Q with N=C₃² and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁(C₂×3_-¹⁺²) = C₉⋊He₃⋊C₂	φ: C₂×3_-¹⁺²/C₉ → C₆ ⊆ Aut C₃²	54	6	C3^2:1(C2xES-(3,1))	486,107
C₃²⋊₂(C₂×3_-¹⁺²) = C₃⁴.C₆	φ: C₂×3_-¹⁺²/C₃² → C₆ ⊆ Aut C₃²	18	6	C3^2:2(C2xES-(3,1))	486,104
C₃²⋊₃(C₂×3_-¹⁺²) = C₂×C₉⋊He₃	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₃²	162		C3^2:3(C2xES-(3,1))	486,198
C₃²⋊₄(C₂×3_-¹⁺²) = C₂×C₃⁴.C₃	φ: C₂×3_-¹⁺²/C₃×C₆ → C₃ ⊆ Aut C₃²	54		C3^2:4(C2xES-(3,1))	486,197
C₃²⋊₅(C₂×3_-¹⁺²) = C₃×S₃×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₃²	54		C3^2:5(C2xES-(3,1))	486,225
C₃²⋊₆(C₂×3_-¹⁺²) = C₃⋊S₃×3_-¹⁺²	φ: C₂×3_-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=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².₁(C₂×3_-¹⁺²) = C₂×He₃⋊C₉	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₃²	162		C3^2.1(C2xES-(3,1))	486,77
C₃².₂(C₂×3_-¹⁺²) = C₂×3_-¹⁺²⋊C₉	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₃²	162		C3^2.2(C2xES-(3,1))	486,78
C₃².₃(C₂×3_-¹⁺²) = C₂×C₉⋊3_-¹⁺²	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₃²	162		C3^2.3(C2xES-(3,1))	486,200
C₃².₄(C₂×3_-¹⁺²) = C₂×C₃³⋊C₉	φ: C₂×3_-¹⁺²/C₃×C₆ → C₃ ⊆ Aut C₃²	54		C3^2.4(C2xES-(3,1))	486,73
C₃².₅(C₂×3_-¹⁺²) = C₂×C₃².₁₉He₃	φ: C₂×3_-¹⁺²/C₃×C₆ → C₃ ⊆ Aut C₃²	162		C3^2.5(C2xES-(3,1))	486,74
C₃².₆(C₂×3_-¹⁺²) = C₂×C₃².₂₀He₃	φ: C₂×3_-¹⁺²/C₃×C₆ → C₃ ⊆ Aut C₃²	162		C3^2.6(C2xES-(3,1))	486,75
C₃².₇(C₂×3_-¹⁺²) = C₂×C₂₇⋊C₉	φ: C₂×3_-¹⁺²/C₃×C₆ → C₃ ⊆ Aut C₃²	54	9	C3^2.7(C2xES-(3,1))	486,82
C₃².₈(C₂×3_-¹⁺²) = C₂×C₃³.₃₁C₃²	φ: C₂×3_-¹⁺²/C₃×C₆ → C₃ ⊆ Aut C₃²	162		C3^2.8(C2xES-(3,1))	486,201
C₃².₉(C₂×3_-¹⁺²) = S₃×C₃²⋊C₉	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₃²	54		C3^2.9(C2xES-(3,1))	486,95
C₃².₁₀(C₂×3_-¹⁺²) = S₃×C₉⋊C₉	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₃²	162		C3^2.10(C2xES-(3,1))	486,97
C₃².₁₁(C₂×3_-¹⁺²) = C₂×C₃.C₉²	central extension (φ=1)	486		C3^2.11(C2xES-(3,1))	486,62
C₃².₁₂(C₂×3_-¹⁺²) = C₆×C₃²⋊C₉	central extension (φ=1)	162		C3^2.12(C2xES-(3,1))	486,191
C₃².₁₃(C₂×3_-¹⁺²) = C₆×C₉⋊C₉	central extension (φ=1)	486		C3^2.13(C2xES-(3,1))	486,192

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