Extensions 1→N→G→Q→1 with N=C₃×C₉ and Q=C₆

Direct product G=N×Q with N=C₃×C₉ and Q=C₆

		d	ρ	Label	ID
C₃²×C₁₈		162		C3^2xC18	162,47

Semidirect products G=N:Q with N=C₃×C₉ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉)⋊₁C₆ = C₃²⋊D₉	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₉	27		(C3xC9):1C6	162,5
(C₃×C₉)⋊₂C₆ = He₃.S₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₉	27	6+	(C3xC9):2C6	162,13
(C₃×C₉)⋊₃C₆ = He₃.₂S₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₉	27	6+	(C3xC9):3C6	162,15
(C₃×C₉)⋊₄C₆ = C₃×C₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₉	18	6	(C3xC9):4C6	162,36
(C₃×C₉)⋊₅C₆ = C₃³.S₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₉	27		(C3xC9):5C6	162,42
(C₃×C₉)⋊₆C₆ = He₃.₄S₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₉	27	6+	(C3xC9):6C6	162,43
(C₃×C₉)⋊₇C₆ = S₃×3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₉	18	6	(C3xC9):7C6	162,37
(C₃×C₉)⋊₈C₆ = C₂×C₃²⋊C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₉	54		(C3xC9):8C6	162,24
(C₃×C₉)⋊₉C₆ = C₂×He₃.C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₉	54	3	(C3xC9):9C6	162,29
(C₃×C₉)⋊₁₀C₆ = C₂×He₃⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₉	54	3	(C3xC9):10C6	162,30
(C₃×C₉)⋊₁₁C₆ = C₆×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₉	54		(C3xC9):11C6	162,49
(C₃×C₉)⋊₁₂C₆ = C₂×C₉○He₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₉	54	3	(C3xC9):12C6	162,50
(C₃×C₉)⋊₁₃C₆ = S₃×C₃×C₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₉	54		(C3xC9):13C6	162,33
(C₃×C₉)⋊₁₄C₆ = C₃²×D₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₉	54		(C3xC9):14C6	162,32
(C₃×C₉)⋊₁₅C₆ = C₃×C₉⋊S₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₉	54		(C3xC9):15C6	162,38

Non-split extensions G=N.Q with N=C₃×C₉ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉).C₆ = C₉⋊C₁₈	φ: C₆/C₁ → C₆ ⊆ Aut C₃×C₉	18	6	(C3xC9).C6	162,6
(C₃×C₉).₂C₆ = C₂×C₉⋊C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₉	162		(C3xC9).2C6	162,25
(C₃×C₉).₃C₆ = C₂×C₃.He₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₉	54	3	(C3xC9).3C6	162,31
(C₃×C₉).₄C₆ = C₂×C₂₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃×C₉	54	3	(C3xC9).4C6	162,27
(C₃×C₉).₅C₆ = S₃×C₂₇	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₉	54	2	(C3xC9).5C6	162,8
(C₃×C₉).₆C₆ = C₉×D₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃×C₉	18	2	(C3xC9).6C6	162,3

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