Extensions 1→N→G→Q→1 with N=D₅₂⋊₅C₂ and Q=C₂

Direct product G=N×Q with N=D₅₂⋊₅C₂ and Q=C₂

		d	ρ	Label	ID
C₂×D₅₂⋊₅C₂		208		C2xD52:5C2	416,215

Semidirect products G=N:Q with N=D₅₂⋊₅C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₂⋊₅C₂⋊₁C₂ = D₁₀₄⋊₇C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅₂⋊₅C₂	208	2	D52:5C2:1C2	416,125
D₅₂⋊₅C₂⋊₂C₂ = C₈⋊D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₅₂⋊₅C₂	104	4+	D52:5C2:2C2	416,129
D₅₂⋊₅C₂⋊₃C₂ = D₅₂⋊₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₅₂⋊₅C₂	104	4	D52:5C2:3C2	416,153
D₅₂⋊₅C₂⋊₄C₂ = C₅₂.C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₅₂⋊₅C₂	208	4	D52:5C2:4C2	416,171
D₅₂⋊₅C₂⋊₅C₂ = D₄⋊₆D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₅₂⋊₅C₂	104	4	D52:5C2:5C2	416,218
D₅₂⋊₅C₂⋊₆C₂ = Q₈.₁₀D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₅₂⋊₅C₂	208	4	D52:5C2:6C2	416,221
D₅₂⋊₅C₂⋊₇C₂ = C₄○D₄×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₅₂⋊₅C₂	104	4	D52:5C2:7C2	416,222
D₅₂⋊₅C₂⋊₈C₂ = D₄⋊₈D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₅₂⋊₅C₂	104	4+	D52:5C2:8C2	416,223
D₅₂⋊₅C₂⋊₉C₂ = D₄.₁₀D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₅₂⋊₅C₂	208	4-	D52:5C2:9C2	416,224

Non-split extensions G=N.Q with N=D₅₂⋊₅C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₂⋊₅C₂.₁C₂ = D₅₂⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅₂⋊₅C₂	104	2	D52:5C2.1C2	416,12
D₅₂⋊₅C₂.₂C₂ = D₅₂⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅₂⋊₅C₂	104	4	D52:5C2.2C2	416,32
D₅₂⋊₅C₂.₃C₂ = D₅₂.₂C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅₂⋊₅C₂	208	4	D52:5C2.3C2	416,128
D₅₂⋊₅C₂.₄C₂ = C₈.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₅₂⋊₅C₂	208	4-	D52:5C2.4C2	416,130
D₅₂⋊₅C₂.₅C₂ = Q₈.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out D₅₂⋊₅C₂	208	4	D52:5C2.5C2	416,163
D₅₂⋊₅C₂.₆C₂ = D₅₂.₃C₄	φ: trivial image	208	2	D52:5C2.6C2	416,122

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