Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃xC₆

Direct product G=NxQ with N=C₆ and Q=C₃xC₆

		d	ρ	Label	ID
C₃xC₆²		108		C3xC6^2	108,45

Semidirect products G=N:Q with N=C₆ and Q=C₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₃xC₆) = S₃xC₃xC₆	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₆	36		C6:(C3xC6)	108,42

Non-split extensions G=N.Q with N=C₆ and Q=C₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₃xC₆) = C₃²xDic₃	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₆	36		C6.(C3xC6)	108,32
C₆.₂(C₃xC₆) = C₄xHe₃	central extension (φ=1)	36	3	C6.2(C3xC6)	108,13
C₆.₃(C₃xC₆) = C₄x3_-¹⁺²	central extension (φ=1)	36	3	C6.3(C3xC6)	108,14
C₆.₄(C₃xC₆) = C₂²xHe₃	central extension (φ=1)	36		C6.4(C3xC6)	108,30
C₆.₅(C₃xC₆) = C₂²x3_-¹⁺²	central extension (φ=1)	36		C6.5(C3xC6)	108,31

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