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

Direct product G=N×Q with N=C₆ and Q=C₃×C₆

		d	ρ	Label	ID
C₃×C₆²		108		C3xC6^2	108,45

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃×C₆) = S₃×C₃×C₆	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₆	36		C6:(C3xC6)	108,42

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₃×C₆) = C₃²×Dic₃	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₆	36		C6.(C3xC6)	108,32
C₆.₂(C₃×C₆) = C₄×He₃	central extension (φ=1)	36	3	C6.2(C3xC6)	108,13
C₆.₃(C₃×C₆) = C₄×3_-¹⁺²	central extension (φ=1)	36	3	C6.3(C3xC6)	108,14
C₆.₄(C₃×C₆) = C₂²×He₃	central extension (φ=1)	36		C6.4(C3xC6)	108,30
C₆.₅(C₃×C₆) = C₂²×3_-¹⁺²	central extension (φ=1)	36		C6.5(C3xC6)	108,31

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