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

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

		d	ρ	Label	ID
C₂³×C₅₂		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 = C₁₃×C₂³⋊C₄	φ: C₅₂/C₁₃ → C₄ ⊆ Aut C₂³	104	4	C2^3:C52	416,49
C₂³⋊₂C₅₂ = C₂²⋊C₄×C₂₆	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 = C₁₃×C₄.D₄	φ: C₅₂/C₁₃ → C₄ ⊆ Aut C₂³	104	4	C2^3.C52	416,50
C₂³.₂C₅₂ = C₁₃×C₂²⋊C₈	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.2C52	416,48
C₂³.₃C₅₂ = M₄(2)×C₂₆	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₂³	208		C2^3.3C52	416,191

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