Extensions 1→N→G→Q→1 with N=C₂xC₄₂ and Q=C₃

Direct product G=NxQ with N=C₂xC₄₂ and Q=C₃

		d	ρ	Label	ID
C₆xC₄₂		252		C6xC42	252,46

Semidirect products G=N:Q with N=C₂xC₄₂ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄₂):₁C₃ = A₄xC₂₁	φ: C₃/C₁ → C₃ ⊆ Aut C₂xC₄₂	84	3	(C2xC42):1C3	252,39
(C₂xC₄₂):₂C₃ = C₃xC₇:A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂xC₄₂	84	3	(C2xC42):2C3	252,40
(C₂xC₄₂):₃C₃ = C₂xC₆xC₇:C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₂xC₄₂	84		(C2xC42):3C3	252,38

Non-split extensions G=N.Q with N=C₂xC₄₂ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄₂).₁C₃ = C₇xC₃.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂xC₄₂	126	3	(C2xC42).1C3	252,10
(C₂xC₄₂).₂C₃ = C₂₁.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂xC₄₂	126	3	(C2xC42).2C3	252,11
(C₂xC₄₂).₃C₃ = C₂²xC₇:C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₂xC₄₂	252		(C2xC42).3C3	252,9

Extensions 1→N→G→Q→1 with N=C2xC42 and Q=C3