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

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

		d	ρ	Label	ID
C₃²×C₄₂		378		C3^2xC42	378,60

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₄₂)⋊₁C₃ = C₁₄×He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₄₂	126	3	(C3xC42):1C3	378,45
(C₃×C₄₂)⋊₂C₃ = C₂×C₇⋊He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₄₂	126	3	(C3xC42):2C3	378,28
(C₃×C₄₂)⋊₃C₃ = C₃×C₆×C₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₄₂	126		(C3xC42):3C3	378,52

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₄₂).₁C₃ = C₁₄×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₄₂	126	3	(C3xC42).1C3	378,46
(C₃×C₄₂).₂C₃ = C₆×C₇⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₄₂	378		(C3xC42).2C3	378,26
(C₃×C₄₂).₃C₃ = C₂×C₂₁.C₃²	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₄₂	126	3	(C3xC42).3C3	378,27

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