Extensions 1→N→G→Q→1 with N=C₅₁ and Q=D₄

Direct product G=N×Q with N=C₅₁ and Q=D₄

		d	ρ	Label	ID
D₄×C₅₁		204	2	D4xC51	408,31

Semidirect products G=N:Q with N=C₅₁ and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₁⋊₁D₄ = C₅₁⋊D₄	φ: D₄/C₂ → C₂² ⊆ Aut C₅₁	204	4-	C51:1D4	408,10
C₅₁⋊₂D₄ = C₃⋊D₆₈	φ: D₄/C₂ → C₂² ⊆ Aut C₅₁	204	4+	C51:2D4	408,11
C₅₁⋊₃D₄ = C₁₇⋊D₁₂	φ: D₄/C₂ → C₂² ⊆ Aut C₅₁	204	4+	C51:3D4	408,12
C₅₁⋊₄D₄ = D₂₀₄	φ: D₄/C₄ → C₂ ⊆ Aut C₅₁	204	2+	C51:4D4	408,27
C₅₁⋊₅D₄ = C₃×D₆₈	φ: D₄/C₄ → C₂ ⊆ Aut C₅₁	204	2	C51:5D4	408,17
C₅₁⋊₆D₄ = C₁₇×D₁₂	φ: D₄/C₄ → C₂ ⊆ Aut C₅₁	204	2	C51:6D4	408,22
C₅₁⋊₇D₄ = C₅₁⋊₇D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₅₁	204	2	C51:7D4	408,29
C₅₁⋊₈D₄ = C₃×C₁₇⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₅₁	204	2	C51:8D4	408,19
C₅₁⋊₉D₄ = C₁₇×C₃⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₅₁	204	2	C51:9D4	408,24

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