Extensions 1→N→G→Q→1 with N=C₅₀ and Q=C₂²

Direct product G=N×Q with N=C₅₀ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₅₀		200		C2^2xC50	200,14

Semidirect products G=N:Q with N=C₅₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₀⋊C₂² = C₂²×D₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₅₀	100		C50:C2^2	200,13

Non-split extensions G=N.Q with N=C₅₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₀.₁C₂² = Dic₅₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₅₀	200	2-	C50.1C2^2	200,4
C₅₀.₂C₂² = C₄×D₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₅₀	100	2	C50.2C2^2	200,5
C₅₀.₃C₂² = D₁₀₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₅₀	100	2+	C50.3C2^2	200,6
C₅₀.₄C₂² = C₂×Dic₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₅₀	200		C50.4C2^2	200,7
C₅₀.₅C₂² = C₂₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₅₀	100	2	C50.5C2^2	200,8
C₅₀.₆C₂² = D₄×C₂₅	central extension (φ=1)	100	2	C50.6C2^2	200,10
C₅₀.₇C₂² = Q₈×C₂₅	central extension (φ=1)	200	2	C50.7C2^2	200,11

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