Extensions 1→N→G→Q→1 with N=C₂×C₅₀ and Q=C₄

Direct product G=N×Q with N=C₂×C₅₀ and Q=C₄

		d	ρ	Label	ID
C₂²×C₁₀₀		400		C2^2xC100	400,45

Semidirect products G=N:Q with N=C₂×C₅₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₅₀)⋊₁C₄ = D₂₅.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₅₀	100	4+	(C2xC50):1C4	400,34
(C₂×C₅₀)⋊₂C₄ = C₂²×C₂₅⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₅₀	100		(C2xC50):2C4	400,53
(C₂×C₅₀)⋊₃C₄ = C₂²⋊C₄×C₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₀	200		(C2xC50):3C4	400,21
(C₂×C₅₀)⋊₄C₄ = C₂³.D₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₀	200		(C2xC50):4C4	400,19
(C₂×C₅₀)⋊₅C₄ = C₂²×Dic₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₀	400		(C2xC50):5C4	400,43

Non-split extensions G=N.Q with N=C₂×C₅₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₅₀).₁C₄ = C₂×C₂₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₅₀	400		(C2xC50).1C4	400,32
(C₂×C₅₀).₂C₄ = C₂₅⋊M₄(2)	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₅₀	200	4-	(C2xC50).2C4	400,33
(C₂×C₅₀).₃C₄ = M₄(2)×C₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₀	200	2	(C2xC50).3C4	400,24
(C₂×C₅₀).₄C₄ = C₂×C₂₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₀	400		(C2xC50).4C4	400,9
(C₂×C₅₀).₅C₄ = C₄.Dic₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₀	200	2	(C2xC50).5C4	400,10

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