Extensions 1→N→G→Q→1 with N=D₄ and Q=C₅₂

Direct product G=NxQ with N=D₄ and Q=C₅₂

		d	ρ	Label	ID
D₄xC₅₂		208		D4xC52	416,179

Semidirect products G=N:Q with N=D₄ and Q=C₅₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₁C₅₂ = C₁₃xD₄:C₄	φ: C₅₂/C₂₆ → C₂ ⊆ Out D₄	208		D4:1C52	416,52
D₄:₂C₅₂ = C₁₃xC₄wrC₂	φ: C₅₂/C₂₆ → C₂ ⊆ Out D₄	104	2	D4:2C52	416,54

Non-split extensions G=N.Q with N=D₄ and Q=C₅₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₅₂ = C₁₃xC₈oD₄	φ: trivial image	208	2	D4.C52	416,192

Extensions 1→N→G→Q→1 with N=D4 and Q=C52