Extensions 1→N→G→Q→1 with N=C₄ and Q=D₅₁

Direct product G=N×Q with N=C₄ and Q=D₅₁

		d	ρ	Label	ID
C₄×D₅₁		204	2	C4xD51	408,26

Semidirect products G=N:Q with N=C₄ and Q=D₅₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₅₁ = D₂₀₄	φ: D₅₁/C₅₁ → C₂ ⊆ Aut C₄	204	2+	C4:D51	408,27

Non-split extensions G=N.Q with N=C₄ and Q=D₅₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₅₁ = Dic₁₀₂	φ: D₅₁/C₅₁ → C₂ ⊆ Aut C₄	408	2-	C4.D51	408,25
C₄.₂D₅₁ = C₅₁⋊₅C₈	central extension (φ=1)	408	2	C4.2D51	408,3

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Extensions 1→N→G→Q→1 with N=C4 and Q=D51