Extensions 1→N→G→Q→1 with N=C₂² and Q=D₅₂

Direct product G=N×Q with N=C₂² and Q=D₅₂

		d	ρ	Label	ID
C₂²×D₅₂		208		C2^2xD52	416,214

Semidirect products G=N:Q with N=C₂² and Q=D₅₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁D₅₂ = C₅₂⋊₇D₄	φ: D₅₂/C₅₂ → C₂ ⊆ Aut C₂²	208		C2^2:1D52	416,151
C₂²⋊₂D₅₂ = C₂²⋊D₅₂	φ: D₅₂/D₂₆ → C₂ ⊆ Aut C₂²	104		C2^2:2D52	416,103

Non-split extensions G=N.Q with N=C₂² and Q=D₅₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₅₂ = D₁₀₄⋊₇C₂	φ: D₅₂/C₅₂ → C₂ ⊆ Aut C₂²	208	2	C2^2.1D52	416,125
C₂².₂D₅₂ = C₂².₂D₅₂	φ: D₅₂/D₂₆ → C₂ ⊆ Aut C₂²	104	4	C2^2.2D52	416,13
C₂².₃D₅₂ = D₅₂⋊₇C₄	φ: D₅₂/D₂₆ → C₂ ⊆ Aut C₂²	104	4	C2^2.3D52	416,32
C₂².₄D₅₂ = C₂².D₅₂	φ: D₅₂/D₂₆ → C₂ ⊆ Aut C₂²	208		C2^2.4D52	416,107
C₂².₅D₅₂ = C₈⋊D₂₆	φ: D₅₂/D₂₆ → C₂ ⊆ Aut C₂²	104	4+	C2^2.5D52	416,129
C₂².₆D₅₂ = C₈.D₂₆	φ: D₅₂/D₂₆ → C₂ ⊆ Aut C₂²	208	4-	C2^2.6D52	416,130
C₂².₇D₅₂ = C₅₂.₄₄D₄	central extension (φ=1)	416		C2^2.7D52	416,23
C₂².₈D₅₂ = C₁₀₄⋊₆C₄	central extension (φ=1)	416		C2^2.8D52	416,24
C₂².₉D₅₂ = C₁₀₄⋊₅C₄	central extension (φ=1)	416		C2^2.9D52	416,25
C₂².₁₀D₅₂ = D₅₂⋊₅C₄	central extension (φ=1)	208		C2^2.10D52	416,28
C₂².₁₁D₅₂ = C₂₆.₁₀C₄²	central extension (φ=1)	416		C2^2.11D52	416,38
C₂².₁₂D₅₂ = C₂×C₁₀₄⋊C₂	central extension (φ=1)	208		C2^2.12D52	416,123
C₂².₁₃D₅₂ = C₂×D₁₀₄	central extension (φ=1)	208		C2^2.13D52	416,124
C₂².₁₄D₅₂ = C₂×Dic₅₂	central extension (φ=1)	416		C2^2.14D52	416,126
C₂².₁₅D₅₂ = C₂×C₅₂⋊₃C₄	central extension (φ=1)	416		C2^2.15D52	416,146
C₂².₁₆D₅₂ = C₂×D₂₆⋊C₄	central extension (φ=1)	208		C2^2.16D52	416,148

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