Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂×3_-¹⁺²

Direct product G=N×Q with N=C₆ and Q=C₂×3_-¹⁺²

		d	ρ	Label	ID
C₂×C₆×3_-¹⁺²		108		C2xC6xES-(3,1)	324,153

Semidirect products G=N:Q with N=C₆ and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₂×3_-¹⁺²) = C₂×S₃×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₆	36	6	C6:(C2xES-(3,1))	324,141

Non-split extensions G=N.Q with N=C₆ and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₂×3_-¹⁺²) = Dic₃×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₆	36	6	C6.(C2xES-(3,1))	324,95
C₆.₂(C₂×3_-¹⁺²) = C₄×C₃²⋊C₉	central extension (φ=1)	108		C6.2(C2xES-(3,1))	324,27
C₆.₃(C₂×3_-¹⁺²) = C₄×C₉⋊C₉	central extension (φ=1)	324		C6.3(C2xES-(3,1))	324,28
C₆.₄(C₂×3_-¹⁺²) = C₂²×C₃²⋊C₉	central extension (φ=1)	108		C6.4(C2xES-(3,1))	324,82
C₆.₅(C₂×3_-¹⁺²) = C₂²×C₉⋊C₉	central extension (φ=1)	324		C6.5(C2xES-(3,1))	324,83
C₆.₆(C₂×3_-¹⁺²) = C₁₂×3_-¹⁺²	central extension (φ=1)	108		C6.6(C2xES-(3,1))	324,107

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