Extensions 1→N→G→Q→1 with N=C₂×C₄₂ and Q=C₃

Direct product G=N×Q with N=C₂×C₄₂ and Q=C₃

		d	ρ	Label	ID
C₆×C₄₂		252		C6xC42	252,46

Semidirect products G=N:Q with N=C₂×C₄₂ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄₂)⋊₁C₃ = A₄×C₂₁	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₄₂	84	3	(C2xC42):1C3	252,39
(C₂×C₄₂)⋊₂C₃ = C₃×C₇⋊A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₄₂	84	3	(C2xC42):2C3	252,40
(C₂×C₄₂)⋊₃C₃ = C₂×C₆×C₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₄₂	84		(C2xC42):3C3	252,38

Non-split extensions G=N.Q with N=C₂×C₄₂ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄₂).₁C₃ = C₇×C₃.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₄₂	126	3	(C2xC42).1C3	252,10
(C₂×C₄₂).₂C₃ = C₂₁.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₄₂	126	3	(C2xC42).2C3	252,11
(C₂×C₄₂).₃C₃ = C₂²×C₇⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₄₂	252		(C2xC42).3C3	252,9

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Extensions 1→N→G→Q→1 with N=C2×C42 and Q=C3