Extensions 1→N→G→Q→1 with N=C₅₁ and Q=C₄

Direct product G=N×Q with N=C₅₁ and Q=C₄

		d	ρ	Label	ID
C₂₀₄		204	1	C204	204,4

Semidirect products G=N:Q with N=C₅₁ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₁⋊₁C₄ = C₅₁⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₅₁	51	4	C51:1C4	204,6
C₅₁⋊₂C₄ = C₃×C₁₇⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₅₁	51	4	C51:2C4	204,5
C₅₁⋊₃C₄ = Dic₅₁	φ: C₄/C₂ → C₂ ⊆ Aut C₅₁	204	2-	C51:3C4	204,3
C₅₁⋊₄C₄ = C₃×Dic₁₇	φ: C₄/C₂ → C₂ ⊆ Aut C₅₁	204	2	C51:4C4	204,2
C₅₁⋊₅C₄ = Dic₃×C₁₇	φ: C₄/C₂ → C₂ ⊆ Aut C₅₁	204	2	C51:5C4	204,1

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