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

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

		d	ρ	Label	ID
C₃³×C₁₈		486		C3^3xC18	486,250

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊₁(C₃×C₉) = C₁₈×He₃	φ: C₃×C₉/C₉ → C₃ ⊆ Aut C₃×C₆	162		(C3xC6):1(C3xC9)	486,194
(C₃×C₆)⋊₂(C₃×C₉) = C₆×C₃²⋊C₉	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₃×C₆	162		(C3xC6):2(C3xC9)	486,191

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).₁(C₃×C₉) = C₂×He₃⋊C₉	φ: C₃×C₉/C₉ → C₃ ⊆ Aut C₃×C₆	162		(C3xC6).1(C3xC9)	486,77
(C₃×C₆).₂(C₃×C₉) = C₂×3_-¹⁺²⋊C₉	φ: C₃×C₉/C₉ → C₃ ⊆ Aut C₃×C₆	162		(C3xC6).2(C3xC9)	486,78
(C₃×C₆).₃(C₃×C₉) = C₂×C₉.₅He₃	φ: C₃×C₉/C₉ → C₃ ⊆ Aut C₃×C₆	162	3	(C3xC6).3(C3xC9)	486,79
(C₃×C₆).₄(C₃×C₉) = C₂×C₉.₆He₃	φ: C₃×C₉/C₉ → C₃ ⊆ Aut C₃×C₆	162	3	(C3xC6).4(C3xC9)	486,80
(C₃×C₆).₅(C₃×C₉) = C₁₈×3_-¹⁺²	φ: C₃×C₉/C₉ → C₃ ⊆ Aut C₃×C₆	162		(C3xC6).5(C3xC9)	486,195
(C₃×C₆).₆(C₃×C₉) = C₂×C₂₇○He₃	φ: C₃×C₉/C₉ → C₃ ⊆ Aut C₃×C₆	162	3	(C3xC6).6(C3xC9)	486,209
(C₃×C₆).₇(C₃×C₉) = C₂×C₃³⋊C₉	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₃×C₆	54		(C3xC6).7(C3xC9)	486,73
(C₃×C₆).₈(C₃×C₉) = C₂×C₃².₁₉He₃	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₃×C₆	162		(C3xC6).8(C3xC9)	486,74
(C₃×C₆).₉(C₃×C₉) = C₂×C₃².₂₀He₃	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₃×C₆	162		(C3xC6).9(C3xC9)	486,75
(C₃×C₆).₁₀(C₃×C₉) = C₂×C₉.₄He₃	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₃×C₆	54	3	(C3xC6).10(C3xC9)	486,76
(C₃×C₆).₁₁(C₃×C₉) = C₂×C₉²⋊₃C₃	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₃×C₆	162		(C3xC6).11(C3xC9)	486,193
(C₃×C₆).₁₂(C₃×C₉) = C₆×C₂₇⋊C₃	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₃×C₆	162		(C3xC6).12(C3xC9)	486,208
(C₃×C₆).₁₃(C₃×C₉) = C₂×C₃.C₉²	central extension (φ=1)	486		(C3xC6).13(C3xC9)	486,62
(C₃×C₆).₁₄(C₃×C₉) = C₂×C₂₇⋊₂C₉	central extension (φ=1)	486		(C3xC6).14(C3xC9)	486,71
(C₃×C₆).₁₅(C₃×C₉) = C₂×C₃²⋊C₂₇	central extension (φ=1)	162		(C3xC6).15(C3xC9)	486,72
(C₃×C₆).₁₆(C₃×C₉) = C₂×C₉⋊C₂₇	central extension (φ=1)	486		(C3xC6).16(C3xC9)	486,81
(C₃×C₆).₁₇(C₃×C₉) = C₆×C₉⋊C₉	central extension (φ=1)	486		(C3xC6).17(C3xC9)	486,192

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