Extensions 1→N→G→Q→1 with N=C₃×C₉ and Q=C₁₈

Direct product G=N×Q with N=C₃×C₉ and Q=C₁₈

		d	ρ	Label	ID
C₃×C₉×C₁₈		486		C3xC9xC18	486,190

Semidirect products G=N:Q with N=C₃×C₉ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉)⋊₁C₁₈ = C₉⋊S₃⋊C₉	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃×C₉	54		(C3xC9):1C18	486,3
(C₃×C₉)⋊₂C₁₈ = (C₃×C₉)⋊C₁₈	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃×C₉	54	6	(C3xC9):2C18	486,20
(C₃×C₉)⋊₃C₁₈ = C₉⋊S₃⋊₃C₉	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃×C₉	54	6	(C3xC9):3C18	486,22
(C₃×C₉)⋊₄C₁₈ = C₃×C₉⋊C₁₈	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃×C₉	54		(C3xC9):4C18	486,96
(C₃×C₉)⋊₅C₁₈ = C₉⋊(S₃×C₉)	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃×C₉	54		(C3xC9):5C18	486,138
(C₃×C₉)⋊₆C₁₈ = C₉²⋊₃S₃	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃×C₉	54	6	(C3xC9):6C18	486,139
(C₃×C₉)⋊₇C₁₈ = S₃×C₉⋊C₉	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃×C₉	162		(C3xC9):7C18	486,97
(C₃×C₉)⋊₈C₁₈ = C₂×C₃.C₉²	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃×C₉	486		(C3xC9):8C18	486,62
(C₃×C₉)⋊₉C₁₈ = C₂×C₃².₁₉He₃	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃×C₉	162		(C3xC9):9C18	486,74
(C₃×C₉)⋊₁₀C₁₈ = C₂×C₃².₂₀He₃	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃×C₉	162		(C3xC9):10C18	486,75
(C₃×C₉)⋊₁₁C₁₈ = C₆×C₉⋊C₉	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃×C₉	486		(C3xC9):11C18	486,192
(C₃×C₉)⋊₁₂C₁₈ = C₂×C₉²⋊₃C₃	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃×C₉	162		(C3xC9):12C18	486,193
(C₃×C₉)⋊₁₃C₁₈ = S₃×C₉²	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃×C₉	162		(C3xC9):13C18	486,92
(C₃×C₉)⋊₁₄C₁₈ = D₉×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃×C₉	54		(C3xC9):14C18	486,91
(C₃×C₉)⋊₁₅C₁₈ = C₉×C₉⋊S₃	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃×C₉	54		(C3xC9):15C18	486,133

Non-split extensions G=N.Q with N=C₃×C₉ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉).₁C₁₈ = C₉⋊C₅₄	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃×C₉	54	6	(C3xC9).1C18	486,30
(C₃×C₉).₂C₁₈ = S₃×C₂₇⋊C₃	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃×C₉	54	6	(C3xC9).2C18	486,114
(C₃×C₉).₃C₁₈ = C₂×C₂₇⋊₂C₉	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃×C₉	486		(C3xC9).3C18	486,71
(C₃×C₉).₄C₁₈ = C₂×C₃²⋊C₂₇	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃×C₉	162		(C3xC9).4C18	486,72
(C₃×C₉).₅C₁₈ = C₂×C₉.₄He₃	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃×C₉	54	3	(C3xC9).5C18	486,76
(C₃×C₉).₆C₁₈ = C₂×C₉⋊C₂₇	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃×C₉	486		(C3xC9).6C18	486,81
(C₃×C₉).₇C₁₈ = C₂×C₈₁⋊C₃	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃×C₉	162	3	(C3xC9).7C18	486,84
(C₃×C₉).₈C₁₈ = C₆×C₂₇⋊C₃	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃×C₉	162		(C3xC9).8C18	486,208
(C₃×C₉).₉C₁₈ = S₃×C₈₁	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃×C₉	162	2	(C3xC9).9C18	486,33
(C₃×C₉).₁₀C₁₈ = S₃×C₃×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃×C₉	162		(C3xC9).10C18	486,112
(C₃×C₉).₁₁C₁₈ = D₉×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃×C₉	54	2	(C3xC9).11C18	486,14

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