Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×3_-¹⁺²

Direct product G=N×Q with N=C₃ and Q=C₂×3_-¹⁺²

		d	ρ	Label	ID
C₆×3_-¹⁺²		54		C6xES-(3,1)	162,49

Semidirect products G=N:Q with N=C₃ and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×3_-¹⁺²) = S₃×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₃	18	6	C3:(C2xES-(3,1))	162,37

Non-split extensions G=N.Q with N=C₃ and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂×3_-¹⁺²) = C₂×C₃²⋊C₉	central extension (φ=1)	54		C3.1(C2xES-(3,1))	162,24
C₃.₂(C₂×3_-¹⁺²) = C₂×C₉⋊C₉	central extension (φ=1)	162		C3.2(C2xES-(3,1))	162,25

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×3- 1+2