Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃²×C₆

Direct product G=N×Q with N=C₆ and Q=C₃²×C₆

		d	ρ	Label	ID
C₃²×C₆²		324		C3^2xC6^2	324,176

Semidirect products G=N:Q with N=C₆ and Q=C₃²×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃²×C₆) = S₃×C₃²×C₆	φ: C₃²×C₆/C₃³ → C₂ ⊆ Aut C₆	108		C6:(C3^2xC6)	324,172

Non-split extensions G=N.Q with N=C₆ and Q=C₃²×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₃²×C₆) = Dic₃×C₃³	φ: C₃²×C₆/C₃³ → C₂ ⊆ Aut C₆	108		C6.(C3^2xC6)	324,155
C₆.₂(C₃²×C₆) = C₁₂×He₃	central extension (φ=1)	108		C6.2(C3^2xC6)	324,106
C₆.₃(C₃²×C₆) = C₁₂×3_-¹⁺²	central extension (φ=1)	108		C6.3(C3^2xC6)	324,107
C₆.₄(C₃²×C₆) = C₄×C₉○He₃	central extension (φ=1)	108	3	C6.4(C3^2xC6)	324,108
C₆.₅(C₃²×C₆) = C₂×C₆×He₃	central extension (φ=1)	108		C6.5(C3^2xC6)	324,152
C₆.₆(C₃²×C₆) = C₂×C₆×3_-¹⁺²	central extension (φ=1)	108		C6.6(C3^2xC6)	324,153
C₆.₇(C₃²×C₆) = C₂²×C₉○He₃	central extension (φ=1)	108		C6.7(C3^2xC6)	324,154

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