Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₃²⋊C₉

Direct product G=N×Q with N=C₃ and Q=C₂×C₃²⋊C₉

		d	ρ	Label	ID
C₆×C₃²⋊C₉		162		C6xC3^2:C9	486,191

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₃²⋊C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×C₃²⋊C₉) = S₃×C₃²⋊C₉	φ: C₂×C₃²⋊C₉/C₃²⋊C₉ → C₂ ⊆ Aut C₃	54		C3:(C2xC3^2:C9)	486,95

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₃²⋊C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂×C₃²⋊C₉) = C₂×C₃.C₉²	central extension (φ=1)	486		C3.1(C2xC3^2:C9)	486,62
C₃.₂(C₂×C₃²⋊C₉) = C₂×C₃²⋊C₂₇	central extension (φ=1)	162		C3.2(C2xC3^2:C9)	486,72
C₃.₃(C₂×C₃²⋊C₉) = C₂×C₃³⋊C₉	central stem extension (φ=1)	54		C3.3(C2xC3^2:C9)	486,73
C₃.₄(C₂×C₃²⋊C₉) = C₂×C₃².₁₉He₃	central stem extension (φ=1)	162		C3.4(C2xC3^2:C9)	486,74
C₃.₅(C₂×C₃²⋊C₉) = C₂×C₃².₂₀He₃	central stem extension (φ=1)	162		C3.5(C2xC3^2:C9)	486,75
C₃.₆(C₂×C₃²⋊C₉) = C₂×C₉.₄He₃	central stem extension (φ=1)	54	3	C3.6(C2xC3^2:C9)	486,76
C₃.₇(C₂×C₃²⋊C₉) = C₂×He₃⋊C₉	central stem extension (φ=1)	162		C3.7(C2xC3^2:C9)	486,77
C₃.₈(C₂×C₃²⋊C₉) = C₂×3_-¹⁺²⋊C₉	central stem extension (φ=1)	162		C3.8(C2xC3^2:C9)	486,78
C₃.₉(C₂×C₃²⋊C₉) = C₂×C₉.₅He₃	central stem extension (φ=1)	162	3	C3.9(C2xC3^2:C9)	486,79
C₃.₁₀(C₂×C₃²⋊C₉) = C₂×C₉.₆He₃	central stem extension (φ=1)	162	3	C3.10(C2xC3^2:C9)	486,80

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