Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₉○He₃

Direct product G=N×Q with N=C₃ and Q=C₂×C₉○He₃

		d	ρ	Label	ID
C₆×C₉○He₃		162		C6xC9oHe3	486,253

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₉○He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×C₉○He₃) = S₃×C₉○He₃	φ: C₂×C₉○He₃/C₉○He₃ → C₂ ⊆ Aut C₃	54	6	C3:(C2xC9oHe3)	486,226

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₉○He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂×C₉○He₃) = C₂×C₉²⋊₃C₃	central extension (φ=1)	162		C3.1(C2xC9oHe3)	486,193
C₃.₂(C₂×C₉○He₃) = C₁₈×He₃	central extension (φ=1)	162		C3.2(C2xC9oHe3)	486,194
C₃.₃(C₂×C₉○He₃) = C₁₈×3_-¹⁺²	central extension (φ=1)	162		C3.3(C2xC9oHe3)	486,195
C₃.₄(C₂×C₉○He₃) = C₂×C₉⋊He₃	central stem extension (φ=1)	162		C3.4(C2xC9oHe3)	486,198
C₃.₅(C₂×C₉○He₃) = C₂×C₃².₂₃C₃³	central stem extension (φ=1)	162		C3.5(C2xC9oHe3)	486,199
C₃.₆(C₂×C₉○He₃) = C₂×C₉⋊3_-¹⁺²	central stem extension (φ=1)	162		C3.6(C2xC9oHe3)	486,200
C₃.₇(C₂×C₉○He₃) = C₂×C₃³.₃₁C₃²	central stem extension (φ=1)	162		C3.7(C2xC9oHe3)	486,201
C₃.₈(C₂×C₉○He₃) = C₂×C₉²⋊₇C₃	central stem extension (φ=1)	162		C3.8(C2xC9oHe3)	486,202
C₃.₉(C₂×C₉○He₃) = C₂×C₉²⋊₄C₃	central stem extension (φ=1)	162		C3.9(C2xC9oHe3)	486,203
C₃.₁₀(C₂×C₉○He₃) = C₂×C₉²⋊₅C₃	central stem extension (φ=1)	162		C3.10(C2xC9oHe3)	486,204
C₃.₁₁(C₂×C₉○He₃) = C₂×C₉²⋊₈C₃	central stem extension (φ=1)	162		C3.11(C2xC9oHe3)	486,205

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