Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₅₂

Direct product G=NxQ with N=C₂³ and Q=C₅₂

		d	ρ	Label	ID
C₂³xC₅₂		416		C2^3xC52	416,227

Semidirect products G=N:Q with N=C₂³ and Q=C₅₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:C₅₂ = C₁₃xC₂³:C₄	φ: C₅₂/C₁₃ → C₄ ⊆ Aut C₂³	104	4	C2^3:C52	416,49
C₂³:₂C₅₂ = C₂²:C₄xC₂₆	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3:2C52	416,176

Non-split extensions G=N.Q with N=C₂³ and Q=C₅₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₅₂ = C₁₃xC₄.D₄	φ: C₅₂/C₁₃ → C₄ ⊆ Aut C₂³	104	4	C2^3.C52	416,50
C₂³.₂C₅₂ = C₁₃xC₂²:C₈	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.2C52	416,48
C₂³.₃C₅₂ = M₄(2)xC₂₆	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.3C52	416,191

Extensions 1→N→G→Q→1 with N=C23 and Q=C52