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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×3_-¹⁺²)⋊₁C₃² = C₆×C₃≀C₃	φ: C₃²/C₃ → C₃ ⊆ Out C₂×3_-¹⁺²	54		(C2xES-(3,1)):1C3^2	486,210
(C₂×3_-¹⁺²)⋊₂C₃² = C₆×He₃.C₃	φ: C₃²/C₃ → C₃ ⊆ Out C₂×3_-¹⁺²	162		(C2xES-(3,1)):2C3^2	486,211
(C₂×3_-¹⁺²)⋊₃C₃² = C₂×C₃³⋊C₃²	φ: C₃²/C₃ → C₃ ⊆ Out C₂×3_-¹⁺²	54	9	(C2xES-(3,1)):3C3^2	486,215
(C₂×3_-¹⁺²)⋊₄C₃² = C₂×He₃.C₃²	φ: C₃²/C₃ → C₃ ⊆ Out C₂×3_-¹⁺²	54	9	(C2xES-(3,1)):4C3^2	486,216
(C₂×3_-¹⁺²)⋊₅C₃² = C₆×C₉○He₃	φ: trivial image	162		(C2xES-(3,1)):5C3^2	486,253
(C₂×3_-¹⁺²)⋊₆C₃² = C₂×3_-¹⁺⁴	φ: trivial image	54	9	(C2xES-(3,1)):6C3^2	486,255

Non-split extensions G=N.Q with N=C₂×3_-¹⁺² and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×3_-¹⁺²).₁C₃² = C₆×C₃.He₃	φ: C₃²/C₃ → C₃ ⊆ Out C₂×3_-¹⁺²	162		(C2xES-(3,1)).1C3^2	486,213
(C₂×3_-¹⁺²).₂C₃² = C₂×C₉.He₃	φ: C₃²/C₃ → C₃ ⊆ Out C₂×3_-¹⁺²	54	3	(C2xES-(3,1)).2C3^2	486,214
(C₂×3_-¹⁺²).₃C₃² = C₂×C₃².C₃³	φ: C₃²/C₃ → C₃ ⊆ Out C₂×3_-¹⁺²	54	9	(C2xES-(3,1)).3C3^2	486,218
(C₂×3_-¹⁺²).₄C₃² = C₂×C₉.₂He₃	φ: C₃²/C₃ → C₃ ⊆ Out C₂×3_-¹⁺²	54	9	(C2xES-(3,1)).4C3^2	486,219

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