Extensions 1→N→G→Q→1 with N=C₃x3_-¹⁺² and Q=C₆

Direct product G=NxQ with N=C₃x3_-¹⁺² and Q=C₆

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

Semidirect products G=N:Q with N=C₃x3_-¹⁺² and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃x3_-¹⁺²):₁C₆ = C₃⁴.S₃	φ: C₆/C₁ → C₆ ⊆ Out C₃x3_-¹⁺²	27		(C3xES-(3,1)):1C6	486,105
(C₃x3_-¹⁺²):₂C₆ = D₉:He₃	φ: C₆/C₁ → C₆ ⊆ Out C₃x3_-¹⁺²	54	6	(C3xES-(3,1)):2C6	486,106
(C₃x3_-¹⁺²):₃C₆ = C₉:S₃:C₃²	φ: C₆/C₁ → C₆ ⊆ Out C₃x3_-¹⁺²	27	18+	(C3xES-(3,1)):3C6	486,129
(C₃x3_-¹⁺²):₄C₆ = He₃.(C₃xS₃)	φ: C₆/C₁ → C₆ ⊆ Out C₃x3_-¹⁺²	27	18+	(C3xES-(3,1)):4C6	486,131
(C₃x3_-¹⁺²):₅C₆ = 3_-¹⁺⁴:C₂	φ: C₆/C₁ → C₆ ⊆ Out C₃x3_-¹⁺²	27	18+	(C3xES-(3,1)):5C6	486,238
(C₃x3_-¹⁺²):₆C₆ = S₃xC₃wrC₃	φ: C₆/C₁ → C₆ ⊆ Out C₃x3_-¹⁺²	18	6	(C3xES-(3,1)):6C6	486,117
(C₃x3_-¹⁺²):₇C₆ = S₃xHe₃.C₃	φ: C₆/C₁ → C₆ ⊆ Out C₃x3_-¹⁺²	54	6	(C3xES-(3,1)):7C6	486,120
(C₃x3_-¹⁺²):₈C₆ = C₂xC₃³.C₃²	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	162		(C3xES-(3,1)):8C6	486,64
(C₃x3_-¹⁺²):₉C₆ = C₂xC₃⁴.C₃	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	54		(C3xES-(3,1)):9C6	486,197
(C₃x3_-¹⁺²):₁₀C₆ = C₂xC₉:He₃	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	162		(C3xES-(3,1)):10C6	486,198
(C₃x3_-¹⁺²):₁₁C₆ = C₂xC₃².₂₃C₃³	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	162		(C3xES-(3,1)):11C6	486,199
(C₃x3_-¹⁺²):₁₂C₆ = C₆xC₃wrC₃	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	54		(C3xES-(3,1)):12C6	486,210
(C₃x3_-¹⁺²):₁₃C₆ = C₆xHe₃.C₃	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	162		(C3xES-(3,1)):13C6	486,211
(C₃x3_-¹⁺²):₁₄C₆ = C₂xC₃³:C₃²	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	54	9	(C3xES-(3,1)):14C6	486,215
(C₃x3_-¹⁺²):₁₅C₆ = C₂xHe₃.C₃²	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	54	9	(C3xES-(3,1)):15C6	486,216
(C₃x3_-¹⁺²):₁₆C₆ = C₂xHe₃:C₃²	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	54	9	(C3xES-(3,1)):16C6	486,217
(C₃x3_-¹⁺²):₁₇C₆ = C₂xC₉.₂He₃	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	54	9	(C3xES-(3,1)):17C6	486,219
(C₃x3_-¹⁺²):₁₈C₆ = C₂x3_-¹⁺⁴	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	54	9	(C3xES-(3,1)):18C6	486,255
(C₃x3_-¹⁺²):₁₉C₆ = C₃²xC₉:C₆	φ: C₆/C₃ → C₂ ⊆ Out C₃x3_-¹⁺²	54		(C3xES-(3,1)):19C6	486,224
(C₃x3_-¹⁺²):₂₀C₆ = C₃xC₃³.S₃	φ: C₆/C₃ → C₂ ⊆ Out C₃x3_-¹⁺²	54		(C3xES-(3,1)):20C6	486,232
(C₃x3_-¹⁺²):₂₁C₆ = C₃xS₃x3_-¹⁺²	φ: C₆/C₃ → C₂ ⊆ Out C₃x3_-¹⁺²	54		(C3xES-(3,1)):21C6	486,225
(C₃x3_-¹⁺²):₂₂C₆ = S₃xC₉oHe₃	φ: C₆/C₃ → C₂ ⊆ Out C₃x3_-¹⁺²	54	6	(C3xES-(3,1)):22C6	486,226
(C₃x3_-¹⁺²):₂₃C₆ = C₆xC₉oHe₃	φ: trivial image	162		(C3xES-(3,1)):23C6	486,253

Non-split extensions G=N.Q with N=C₃x3_-¹⁺² and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃x3_-¹⁺²).₁C₆ = C₉²:₇C₆	φ: C₆/C₁ → C₆ ⊆ Out C₃x3_-¹⁺²	54	6	(C3xES-(3,1)).1C6	486,109
(C₃x3_-¹⁺²).₂C₆ = C₉²:₈C₆	φ: C₆/C₁ → C₆ ⊆ Out C₃x3_-¹⁺²	18	6	(C3xES-(3,1)).2C6	486,110
(C₃x3_-¹⁺²).₃C₆ = S₃xC₃.He₃	φ: C₆/C₁ → C₆ ⊆ Out C₃x3_-¹⁺²	54	6	(C3xES-(3,1)).3C6	486,124
(C₃x3_-¹⁺²).₄C₆ = C₂xC₃³.₃C₃²	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	162		(C3xES-(3,1)).4C6	486,65
(C₃x3_-¹⁺²).₅C₆ = C₂xC₃².₂₈He₃	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	162		(C3xES-(3,1)).5C6	486,67
(C₃x3_-¹⁺²).₆C₆ = C₂x3_-¹⁺²:C₉	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	162		(C3xES-(3,1)).6C6	486,78
(C₃x3_-¹⁺²).₇C₆ = C₂xC₉:3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	162		(C3xES-(3,1)).7C6	486,200
(C₃x3_-¹⁺²).₈C₆ = C₂xC₉²:₇C₃	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	162		(C3xES-(3,1)).8C6	486,202
(C₃x3_-¹⁺²).₉C₆ = C₂xC₉²:₈C₃	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	162		(C3xES-(3,1)).9C6	486,205
(C₃x3_-¹⁺²).₁₀C₆ = C₂xC₉²:₉C₃	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	162		(C3xES-(3,1)).10C6	486,206
(C₃x3_-¹⁺²).₁₁C₆ = C₆xC₃.He₃	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	162		(C3xES-(3,1)).11C6	486,213
(C₃x3_-¹⁺²).₁₂C₆ = C₂xC₃².C₃³	φ: C₆/C₂ → C₃ ⊆ Out C₃x3_-¹⁺²	54	9	(C3xES-(3,1)).12C6	486,218
(C₃x3_-¹⁺²).₁₃C₆ = C₉xC₉:C₆	φ: C₆/C₃ → C₂ ⊆ Out C₃x3_-¹⁺²	54	6	(C3xES-(3,1)).13C6	486,100
(C₃x3_-¹⁺²).₁₄C₆ = C₁₈x3_-¹⁺²	φ: trivial image	162		(C3xES-(3,1)).14C6	486,195

Extensions 1→N→G→Q→1 with N=C3x3- 1+2 and Q=C6

Extensions 1→N→G→Q→1 with N=C₃x3_-¹⁺² and Q=C₆