Extensions 1→N→G→Q→1 with N=C₂² and Q=D₅₀

Direct product G=N×Q with N=C₂² and Q=D₅₀

		d	ρ	Label	ID
C₂³×D₂₅		200		C2^3xD25	400,54

Semidirect products G=N:Q with N=C₂² and Q=D₅₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁D₅₀ = D₄×D₂₅	φ: D₅₀/D₂₅ → C₂ ⊆ Aut C₂²	100	4+	C2^2:1D50	400,39
C₂²⋊₂D₅₀ = C₂×C₂₅⋊D₄	φ: D₅₀/C₅₀ → C₂ ⊆ Aut C₂²	200		C2^2:2D50	400,44

Non-split extensions G=N.Q with N=C₂² and Q=D₅₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₅₀ = D₄⋊₂D₂₅	φ: D₅₀/D₂₅ → C₂ ⊆ Aut C₂²	200	4-	C2^2.1D50	400,40
C₂².₂D₅₀ = D₁₀₀⋊₅C₂	φ: D₅₀/C₅₀ → C₂ ⊆ Aut C₂²	200	2	C2^2.2D50	400,38
C₂².₃D₅₀ = C₄×Dic₂₅	central extension (φ=1)	400		C2^2.3D50	400,11
C₂².₄D₅₀ = C₅₀.D₄	central extension (φ=1)	400		C2^2.4D50	400,12
C₂².₅D₅₀ = C₄⋊Dic₂₅	central extension (φ=1)	400		C2^2.5D50	400,13
C₂².₆D₅₀ = D₅₀⋊C₄	central extension (φ=1)	200		C2^2.6D50	400,14
C₂².₇D₅₀ = C₂³.D₂₅	central extension (φ=1)	200		C2^2.7D50	400,19
C₂².₈D₅₀ = C₂×Dic₅₀	central extension (φ=1)	400		C2^2.8D50	400,35
C₂².₉D₅₀ = C₂×C₄×D₂₅	central extension (φ=1)	200		C2^2.9D50	400,36
C₂².₁₀D₅₀ = C₂×D₁₀₀	central extension (φ=1)	200		C2^2.10D50	400,37
C₂².₁₁D₅₀ = C₂²×Dic₂₅	central extension (φ=1)	400		C2^2.11D50	400,43

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