Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xC₅₂

Direct product G=NxQ with N=C₂² and Q=C₂xC₅₂

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

Semidirect products G=N:Q with N=C₂² and Q=C₂xC₅₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(C₂xC₅₂) = D₄xC₅₂	φ: C₂xC₅₂/C₅₂ → C₂ ⊆ Aut C₂²	208		C2^2:1(C2xC52)	416,179
C₂²:₂(C₂xC₅₂) = C₂²:C₄xC₂₆	φ: C₂xC₅₂/C₂xC₂₆ → C₂ ⊆ Aut C₂²	208		C2^2:2(C2xC52)	416,176

Non-split extensions G=N.Q with N=C₂² and Q=C₂xC₅₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂xC₅₂) = C₁₃xC₈oD₄	φ: C₂xC₅₂/C₅₂ → C₂ ⊆ Aut C₂²	208	2	C2^2.1(C2xC52)	416,192
C₂².₂(C₂xC₅₂) = C₁₃xC₂³:C₄	φ: C₂xC₅₂/C₂xC₂₆ → C₂ ⊆ Aut C₂²	104	4	C2^2.2(C2xC52)	416,49
C₂².₃(C₂xC₅₂) = C₁₃xC₄.D₄	φ: C₂xC₅₂/C₂xC₂₆ → C₂ ⊆ Aut C₂²	104	4	C2^2.3(C2xC52)	416,50
C₂².₄(C₂xC₅₂) = C₁₃xC₄.₁₀D₄	φ: C₂xC₅₂/C₂xC₂₆ → C₂ ⊆ Aut C₂²	208	4	C2^2.4(C2xC52)	416,51
C₂².₅(C₂xC₅₂) = C₁₃xC₄²:C₂	φ: C₂xC₅₂/C₂xC₂₆ → C₂ ⊆ Aut C₂²	208		C2^2.5(C2xC52)	416,178
C₂².₆(C₂xC₅₂) = M₄(2)xC₂₆	φ: C₂xC₅₂/C₂xC₂₆ → C₂ ⊆ Aut C₂²	208		C2^2.6(C2xC52)	416,191
C₂².₇(C₂xC₅₂) = C₁₃xC₂.C₄²	central extension (φ=1)	416		C2^2.7(C2xC52)	416,45
C₂².₈(C₂xC₅₂) = C₁₃xC₈:C₄	central extension (φ=1)	416		C2^2.8(C2xC52)	416,47
C₂².₉(C₂xC₅₂) = C₁₃xC₂²:C₈	central extension (φ=1)	208		C2^2.9(C2xC52)	416,48
C₂².₁₀(C₂xC₅₂) = C₁₃xC₄:C₈	central extension (φ=1)	416		C2^2.10(C2xC52)	416,55
C₂².₁₁(C₂xC₅₂) = C₄:C₄xC₂₆	central extension (φ=1)	416		C2^2.11(C2xC52)	416,177

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