Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₅₀

Direct product G=N×Q with N=C₂² and Q=C₂×C₅₀

		d	ρ	Label	ID
C₂³×C₅₀		400		C2^3xC50	400,55

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₅₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₅₀) = D₄×C₅₀	φ: C₂×C₅₀/C₅₀ → C₂ ⊆ Aut C₂²	200		C2^2:(C2xC50)	400,46

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₅₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂×C₅₀) = C₄○D₄×C₂₅	φ: C₂×C₅₀/C₅₀ → C₂ ⊆ Aut C₂²	200	2	C2^2.(C2xC50)	400,48
C₂².₂(C₂×C₅₀) = C₂²⋊C₄×C₂₅	central extension (φ=1)	200		C2^2.2(C2xC50)	400,21
C₂².₃(C₂×C₅₀) = C₄⋊C₄×C₂₅	central extension (φ=1)	400		C2^2.3(C2xC50)	400,22
C₂².₄(C₂×C₅₀) = Q₈×C₅₀	central extension (φ=1)	400		C2^2.4(C2xC50)	400,47

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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C50