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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₂⋊₁C₂² = D₈×D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out D₅₂	104	4+	D52:1C2^2	416,131
D₅₂⋊₂C₂² = Q₈⋊D₂₆	φ: C₂²/C₁ → C₂² ⊆ Out D₅₂	104	4+	D52:2C2^2	416,135
D₅₂⋊₃C₂² = C₂×D₁₀₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	208		D52:3C2^2	416,124
D₅₂⋊₄C₂² = C₈⋊D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	104	4+	D52:4C2^2	416,129
D₅₂⋊₅C₂² = C₂×D₄⋊D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	208		D52:5C2^2	416,152
D₅₂⋊₆C₂² = D₅₂⋊₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	104	4	D52:6C2^2	416,153
D₅₂⋊₇C₂² = C₂×D₄×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	104		D52:7C2^2	416,216
D₅₂⋊₈C₂² = D₄⋊₆D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	104	4	D52:8C2^2	416,218
D₅₂⋊₉C₂² = C₂×D₅₂⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	208		D52:9C2^2	416,220
D₅₂⋊₁₀C₂² = C₄○D₄×D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	104	4	D52:10C2^2	416,222
D₅₂⋊₁₁C₂² = D₄⋊₈D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	104	4+	D52:11C2^2	416,223
D₅₂⋊₁₂C₂² = C₂×D₅₂⋊₅C₂	φ: trivial image	208		D52:12C2^2	416,215

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₅₂.₁C₂² = D₈⋊D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out D₅₂	104	4	D52.1C2^2	416,132
D₅₂.₂C₂² = SD₁₆×D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out D₅₂	104	4	D52.2C2^2	416,134
D₅₂.₃C₂² = D₂₆.₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₅₂	208	4	D52.3C2^2	416,137
D₅₂.₄C₂² = Q₁₆⋊D₁₃	φ: C₂²/C₁ → C₂² ⊆ Out D₅₂	208	4	D52.4C2^2	416,139
D₅₂.₅C₂² = D₁₀₄⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out D₅₂	208	4+	D52.5C2^2	416,140
D₅₂.₆C₂² = C₂×C₁₀₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	208		D52.6C2^2	416,123
D₅₂.₇C₂² = D₁₀₄⋊₇C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	208	2	D52.7C2^2	416,125
D₅₂.₈C₂² = C₈.D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	208	4-	D52.8C2^2	416,130
D₅₂.₉C₂² = C₂×Q₈⋊D₁₃	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	208		D52.9C2^2	416,162
D₅₂.₁₀C₂² = Q₈.D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	208	4	D52.10C2^2	416,163
D₅₂.₁₁C₂² = D₄⋊D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	104	4+	D52.11C2^2	416,170
D₅₂.₁₂C₂² = C₅₂.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	208	4	D52.12C2^2	416,171
D₅₂.₁₃C₂² = Q₈.₁₀D₂₆	φ: C₂²/C₂ → C₂ ⊆ Out D₅₂	208	4	D52.13C2^2	416,221
D₅₂.₁₄C₂² = D₄.₁₀D₂₆	φ: trivial image	208	4-	D52.14C2^2	416,224

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