Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xC₁₃:C₃

Direct product G=NxQ with N=C₆ and Q=C₂xC₁₃:C₃

		d	ρ	Label	ID
C₂xC₆xC₁₃:C₃		156		C2xC6xC13:C3	468,47

Semidirect products G=N:Q with N=C₆ and Q=C₂xC₁₃:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₂xC₁₃:C₃) = C₂xS₃xC₁₃:C₃	φ: C₂xC₁₃:C₃/C₁₃:C₃ → C₂ ⊆ Aut C₆	78	6	C6:(C2xC13:C3)	468,34

Non-split extensions G=N.Q with N=C₆ and Q=C₂xC₁₃:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₂xC₁₃:C₃) = Dic₃xC₁₃:C₃	φ: C₂xC₁₃:C₃/C₁₃:C₃ → C₂ ⊆ Aut C₆	156	6	C6.(C2xC13:C3)	468,20
C₆.₂(C₂xC₁₃:C₃) = C₄xC₁₃:C₉	central extension (φ=1)	468	3	C6.2(C2xC13:C3)	468,2
C₆.₃(C₂xC₁₃:C₃) = C₂²xC₁₃:C₉	central extension (φ=1)	468		C6.3(C2xC13:C3)	468,12
C₆.₄(C₂xC₁₃:C₃) = C₁₂xC₁₃:C₃	central extension (φ=1)	156	3	C6.4(C2xC13:C3)	468,22

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