Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=D₁₃

Direct product G=NxQ with N=C₂xC₆ and Q=D₁₃

		d	ρ	Label	ID
C₂xC₆xD₁₃		156		C2xC6xD13	312,58

Semidirect products G=N:Q with N=C₂xC₆ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):₁D₁₃ = C₃xC₁₃:D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂xC₆	156	2	(C2xC6):1D13	312,31
(C₂xC₆):₂D₁₃ = C₃₉:₇D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂xC₆	156	2	(C2xC6):2D13	312,41
(C₂xC₆):₃D₁₃ = C₂²xD₃₉	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂xC₆	156		(C2xC6):3D13	312,60

Non-split extensions G=N.Q with N=C₂xC₆ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).D₁₃ = C₂xDic₃₉	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₂xC₆	312		(C2xC6).D13	312,40
(C₂xC₆).₂D₁₃ = C₆xDic₁₃	central extension (φ=1)	312		(C2xC6).2D13	312,30

Extensions 1→N→G→Q→1 with N=C2xC6 and Q=D13