Extensions 1→N→G→Q→1 with N=C₂xC₅₀ and Q=C₄

Direct product G=NxQ with N=C₂xC₅₀ and Q=C₄

		d	ρ	Label	ID
C₂²xC₁₀₀		400		C2^2xC100	400,45

Semidirect products G=N:Q with N=C₂xC₅₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₅₀):₁C₄ = D₂₅.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₅₀	100	4+	(C2xC50):1C4	400,34
(C₂xC₅₀):₂C₄ = C₂²xC₂₅:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₅₀	100		(C2xC50):2C4	400,53
(C₂xC₅₀):₃C₄ = C₂²:C₄xC₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₅₀	200		(C2xC50):3C4	400,21
(C₂xC₅₀):₄C₄ = C₂³.D₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₅₀	200		(C2xC50):4C4	400,19
(C₂xC₅₀):₅C₄ = C₂²xDic₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₅₀	400		(C2xC50):5C4	400,43

Non-split extensions G=N.Q with N=C₂xC₅₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₅₀).₁C₄ = C₂xC₂₅:C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₅₀	400		(C2xC50).1C4	400,32
(C₂xC₅₀).₂C₄ = C₂₅:M₄(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₅₀	200	4-	(C2xC50).2C4	400,33
(C₂xC₅₀).₃C₄ = M₄(2)xC₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₅₀	200	2	(C2xC50).3C4	400,24
(C₂xC₅₀).₄C₄ = C₂xC₂₅:₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₅₀	400		(C2xC50).4C4	400,9
(C₂xC₅₀).₅C₄ = C₄.Dic₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₅₀	200	2	(C2xC50).5C4	400,10

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