Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₉⋊C₆

Direct product G=N×Q with N=C₃ and Q=C₂×C₉⋊C₆

		d	ρ	Label	ID
C₆×C₉⋊C₆		36	6	C6xC9:C6	324,140

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₉⋊C₆) = S₃×C₉⋊C₆	φ: C₂×C₉⋊C₆/C₉⋊C₆ → C₂ ⊆ Aut C₃	18	12+	C3:1(C2xC9:C6)	324,118
C₃⋊₂(C₂×C₉⋊C₆) = C₂×C₃³.S₃	φ: C₂×C₉⋊C₆/C₂×3_-¹⁺² → C₂ ⊆ Aut C₃	54		C3:2(C2xC9:C6)	324,146

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₉⋊C₆) = C₂×C₃²⋊D₉	φ: C₂×C₉⋊C₆/C₂×3_-¹⁺² → C₂ ⊆ Aut C₃	54		C3.(C2xC9:C6)	324,63
C₃.₂(C₂×C₉⋊C₆) = C₂×C₉⋊C₁₈	central extension (φ=1)	36	6	C3.2(C2xC9:C6)	324,64

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C9⋊C6