Extensions 1→N→G→Q→1 with N=C₃×C₉ and Q=D₆

Direct product G=N×Q with N=C₃×C₉ and Q=D₆

		d	ρ	Label	ID
S₃×C₃×C₁₈		108		S3xC3xC18	324,137

Semidirect products G=N:Q with N=C₃×C₉ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉)⋊₁D₆ = C₃²⋊D₁₈	φ: D₆/C₁ → D₆ ⊆ Aut C₃×C₉	18	12+	(C3xC9):1D6	324,37
(C₃×C₉)⋊₂D₆ = He₃.D₆	φ: D₆/C₁ → D₆ ⊆ Aut C₃×C₉	27	6+	(C3xC9):2D6	324,40
(C₃×C₉)⋊₃D₆ = He₃.₂D₆	φ: D₆/C₁ → D₆ ⊆ Aut C₃×C₉	27	6+	(C3xC9):3D6	324,41
(C₃×C₉)⋊₄D₆ = He₃.₆D₆	φ: D₆/C₁ → D₆ ⊆ Aut C₃×C₉	27	6+	(C3xC9):4D6	324,125
(C₃×C₉)⋊₅D₆ = C₂×C₃²⋊C₁₈	φ: D₆/C₂ → S₃ ⊆ Aut C₃×C₉	36	6	(C3xC9):5D6	324,62
(C₃×C₉)⋊₆D₆ = C₂×He₃.C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃×C₉	54	3	(C3xC9):6D6	324,70
(C₃×C₉)⋊₇D₆ = C₂×He₃.₂C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃×C₉	54	3	(C3xC9):7D6	324,72
(C₃×C₉)⋊₈D₆ = C₂×C₃²⋊₂D₉	φ: D₆/C₂ → S₃ ⊆ Aut C₃×C₉	36	6	(C3xC9):8D6	324,75
(C₃×C₉)⋊₉D₆ = C₂×He₃.₃S₃	φ: D₆/C₂ → S₃ ⊆ Aut C₃×C₉	54	6+	(C3xC9):9D6	324,78
(C₃×C₉)⋊₁₀D₆ = C₂×He₃⋊S₃	φ: D₆/C₂ → S₃ ⊆ Aut C₃×C₉	54	6+	(C3xC9):10D6	324,79
(C₃×C₉)⋊₁₁D₆ = C₂×He₃.₄S₃	φ: D₆/C₂ → S₃ ⊆ Aut C₃×C₉	54	6+	(C3xC9):11D6	324,147
(C₃×C₉)⋊₁₂D₆ = C₂×He₃.₄C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃×C₉	54	3	(C3xC9):12D6	324,148
(C₃×C₉)⋊₁₃D₆ = D₉×C₃⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₃×C₉	54		(C3xC9):13D6	324,119
(C₃×C₉)⋊₁₄D₆ = C₃²⋊₅D₁₈	φ: D₆/C₃ → C₂² ⊆ Aut C₃×C₉	36	4	(C3xC9):14D6	324,123
(C₃×C₉)⋊₁₅D₆ = S₃²×C₉	φ: D₆/S₃ → C₂ ⊆ Aut C₃×C₉	36	4	(C3xC9):15D6	324,115
(C₃×C₉)⋊₁₆D₆ = C₃×S₃×D₉	φ: D₆/S₃ → C₂ ⊆ Aut C₃×C₉	36	4	(C3xC9):16D6	324,114
(C₃×C₉)⋊₁₇D₆ = S₃×C₉⋊S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃×C₉	54		(C3xC9):17D6	324,120
(C₃×C₉)⋊₁₈D₆ = C₁₈×C₃⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃×C₉	108		(C3xC9):18D6	324,143
(C₃×C₉)⋊₁₉D₆ = C₆×C₉⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃×C₉	108		(C3xC9):19D6	324,142
(C₃×C₉)⋊₂₀D₆ = C₂×C₃²⋊₄D₉	φ: D₆/C₆ → C₂ ⊆ Aut C₃×C₉	162		(C3xC9):20D6	324,149

Non-split extensions G=N.Q with N=C₃×C₉ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉).₁D₆ = C₂×C₉⋊C₁₈	φ: D₆/C₂ → S₃ ⊆ Aut C₃×C₉	36	6	(C3xC9).1D6	324,64
(C₃×C₉).₂D₆ = C₂×3_-¹⁺².S₃	φ: D₆/C₂ → S₃ ⊆ Aut C₃×C₉	54	6+	(C3xC9).2D6	324,80
(C₃×C₉).₃D₆ = C₂×C₂₇⋊C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃×C₉	54	6+	(C3xC9).3D6	324,67
(C₃×C₉).₄D₆ = D₉²	φ: D₆/C₃ → C₂² ⊆ Aut C₃×C₉	18	4+	(C3xC9).4D6	324,36
(C₃×C₉).₅D₆ = S₃×D₂₇	φ: D₆/C₃ → C₂² ⊆ Aut C₃×C₉	54	4+	(C3xC9).5D6	324,38
(C₃×C₉).₆D₆ = D₉×C₁₈	φ: D₆/C₆ → C₂ ⊆ Aut C₃×C₉	36	2	(C3xC9).6D6	324,61
(C₃×C₉).₇D₆ = C₆×D₂₇	φ: D₆/C₆ → C₂ ⊆ Aut C₃×C₉	108	2	(C3xC9).7D6	324,65
(C₃×C₉).₈D₆ = C₂×C₉⋊D₉	φ: D₆/C₆ → C₂ ⊆ Aut C₃×C₉	162		(C3xC9).8D6	324,74
(C₃×C₉).₉D₆ = C₂×C₂₇⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃×C₉	162		(C3xC9).9D6	324,76

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Extensions 1→N→G→Q→1 with N=C3×C9 and Q=D6

Extensions 1→N→G→Q→1 with N=C₃×C₉ and Q=D₆