Extensions 1→N→G→Q→1 with N=C₃xC₉ and Q=D₆

Direct product G=NxQ with N=C₃xC₉ and Q=D₆

		d	ρ	Label	ID
S₃xC₃xC₁₈		108		S3xC3xC18	324,137

Semidirect products G=N:Q with N=C₃xC₉ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₉):₁D₆ = C₃²:D₁₈	φ: D₆/C₁ → D₆ ⊆ Aut C₃xC₉	18	12+	(C3xC9):1D6	324,37
(C₃xC₉):₂D₆ = He₃.D₆	φ: D₆/C₁ → D₆ ⊆ Aut C₃xC₉	27	6+	(C3xC9):2D6	324,40
(C₃xC₉):₃D₆ = He₃.₂D₆	φ: D₆/C₁ → D₆ ⊆ Aut C₃xC₉	27	6+	(C3xC9):3D6	324,41
(C₃xC₉):₄D₆ = He₃.₆D₆	φ: D₆/C₁ → D₆ ⊆ Aut C₃xC₉	27	6+	(C3xC9):4D6	324,125
(C₃xC₉):₅D₆ = C₂xC₃²:C₁₈	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₉	36	6	(C3xC9):5D6	324,62
(C₃xC₉):₆D₆ = C₂xHe₃.C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₉	54	3	(C3xC9):6D6	324,70
(C₃xC₉):₇D₆ = C₂xHe₃.₂C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₉	54	3	(C3xC9):7D6	324,72
(C₃xC₉):₈D₆ = C₂xC₃²:₂D₉	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₉	36	6	(C3xC9):8D6	324,75
(C₃xC₉):₉D₆ = C₂xHe₃.₃S₃	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₉	54	6+	(C3xC9):9D6	324,78
(C₃xC₉):₁₀D₆ = C₂xHe₃:S₃	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₉	54	6+	(C3xC9):10D6	324,79
(C₃xC₉):₁₁D₆ = C₂xHe₃.₄S₃	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₉	54	6+	(C3xC9):11D6	324,147
(C₃xC₉):₁₂D₆ = C₂xHe₃.₄C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₉	54	3	(C3xC9):12D6	324,148
(C₃xC₉):₁₃D₆ = D₉xC₃:S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₉	54		(C3xC9):13D6	324,119
(C₃xC₉):₁₄D₆ = C₃²:₅D₁₈	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₉	36	4	(C3xC9):14D6	324,123
(C₃xC₉):₁₅D₆ = S₃²xC₉	φ: D₆/S₃ → C₂ ⊆ Aut C₃xC₉	36	4	(C3xC9):15D6	324,115
(C₃xC₉):₁₆D₆ = C₃xS₃xD₉	φ: D₆/S₃ → C₂ ⊆ Aut C₃xC₉	36	4	(C3xC9):16D6	324,114
(C₃xC₉):₁₇D₆ = S₃xC₉:S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃xC₉	54		(C3xC9):17D6	324,120
(C₃xC₉):₁₈D₆ = C₁₈xC₃:S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₉	108		(C3xC9):18D6	324,143
(C₃xC₉):₁₉D₆ = C₆xC₉:S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₉	108		(C3xC9):19D6	324,142
(C₃xC₉):₂₀D₆ = C₂xC₃²:₄D₉	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₉	162		(C3xC9):20D6	324,149

Non-split extensions G=N.Q with N=C₃xC₉ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₉).₁D₆ = C₂xC₉:C₁₈	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₉	36	6	(C3xC9).1D6	324,64
(C₃xC₉).₂D₆ = C₂x3_-¹⁺².S₃	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₉	54	6+	(C3xC9).2D6	324,80
(C₃xC₉).₃D₆ = C₂xC₂₇:C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₉	54	6+	(C3xC9).3D6	324,67
(C₃xC₉).₄D₆ = D₉²	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₉	18	4+	(C3xC9).4D6	324,36
(C₃xC₉).₅D₆ = S₃xD₂₇	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₉	54	4+	(C3xC9).5D6	324,38
(C₃xC₉).₆D₆ = D₉xC₁₈	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₉	36	2	(C3xC9).6D6	324,61
(C₃xC₉).₇D₆ = C₆xD₂₇	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₉	108	2	(C3xC9).7D6	324,65
(C₃xC₉).₈D₆ = C₂xC₉:D₉	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₉	162		(C3xC9).8D6	324,74
(C₃xC₉).₉D₆ = C₂xC₂₇:S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₉	162		(C3xC9).9D6	324,76

Extensions 1→N→G→Q→1 with N=C3xC9 and Q=D6

Extensions 1→N→G→Q→1 with N=C₃xC₉ and Q=D₆