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

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

		d	ρ	Label	ID
C₃²×C₉⋊C₆		54		C3^2xC9:C6	486,224

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×C₉⋊C₆) = C₃×C₃³.S₃	φ: C₃×C₉⋊C₆/C₃×3_-¹⁺² → C₂ ⊆ Aut C₃	54		C3:(C3xC9:C6)	486,232

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×C₉⋊C₆) = C₃×C₃²⋊D₉	φ: C₃×C₉⋊C₆/C₃×3_-¹⁺² → C₂ ⊆ Aut C₃	54		C3.1(C3xC9:C6)	486,94
C₃.₂(C₃×C₉⋊C₆) = C₃⁴.S₃	φ: C₃×C₉⋊C₆/C₃×3_-¹⁺² → C₂ ⊆ Aut C₃	27		C3.2(C3xC9:C6)	486,105
C₃.₃(C₃×C₉⋊C₆) = C₃×C₉⋊C₁₈	central extension (φ=1)	54		C3.3(C3xC9:C6)	486,96
C₃.₄(C₃×C₉⋊C₆) = C₉×C₉⋊C₆	central extension (φ=1)	54	6	C3.4(C3xC9:C6)	486,100
C₃.₅(C₃×C₉⋊C₆) = D₉⋊He₃	central stem extension (φ=1)	54	6	C3.5(C3xC9:C6)	486,106
C₃.₆(C₃×C₉⋊C₆) = D₉⋊3_-¹⁺²	central stem extension (φ=1)	54	6	C3.6(C3xC9:C6)	486,108
C₃.₇(C₃×C₉⋊C₆) = C₉²⋊₇C₆	central stem extension (φ=1)	54	6	C3.7(C3xC9:C6)	486,109
C₃.₈(C₃×C₉⋊C₆) = C₉²⋊₈C₆	central stem extension (φ=1)	18	6	C3.8(C3xC9:C6)	486,110

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