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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×C₄₂) = S₃×C₃×C₂₁	φ: C₃×C₄₂/C₃×C₂₁ → C₂ ⊆ Aut C₃	126		C3:(C3xC42)	378,54

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×C₄₂) = C₁₄×He₃	central stem extension (φ=1)	126	3	C3.1(C3xC42)	378,45
C₃.₂(C₃×C₄₂) = C₁₄×3_-¹⁺²	central stem extension (φ=1)	126	3	C3.2(C3xC42)	378,46

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