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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₅₀)⋊C₂² = D₄×D₂₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₅₀	100	4+	(C2xC50):C2^2	400,39
(C₂×C₅₀)⋊₂C₂² = D₄×C₅₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₀	200		(C2xC50):2C2^2	400,46
(C₂×C₅₀)⋊₃C₂² = C₂×C₂₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₀	200		(C2xC50):3C2^2	400,44
(C₂×C₅₀)⋊₄C₂² = C₂³×D₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₀	200		(C2xC50):4C2^2	400,54

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₅₀).C₂² = D₄⋊₂D₂₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₅₀	200	4-	(C2xC50).C2^2	400,40
(C₂×C₅₀).₂C₂² = C₄○D₄×C₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₀	200	2	(C2xC50).2C2^2	400,48
(C₂×C₅₀).₃C₂² = C₄×Dic₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₀	400		(C2xC50).3C2^2	400,11
(C₂×C₅₀).₄C₂² = C₅₀.D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₀	400		(C2xC50).4C2^2	400,12
(C₂×C₅₀).₅C₂² = C₄⋊Dic₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₀	400		(C2xC50).5C2^2	400,13
(C₂×C₅₀).₆C₂² = D₅₀⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₀	200		(C2xC50).6C2^2	400,14
(C₂×C₅₀).₇C₂² = C₂³.D₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₀	200		(C2xC50).7C2^2	400,19
(C₂×C₅₀).₈C₂² = C₂×Dic₅₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₀	400		(C2xC50).8C2^2	400,35
(C₂×C₅₀).₉C₂² = C₂×C₄×D₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₀	200		(C2xC50).9C2^2	400,36
(C₂×C₅₀).₁₀C₂² = C₂×D₁₀₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₀	200		(C2xC50).10C2^2	400,37
(C₂×C₅₀).₁₁C₂² = D₁₀₀⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₀	200	2	(C2xC50).11C2^2	400,38
(C₂×C₅₀).₁₂C₂² = C₂²×Dic₂₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₅₀	400		(C2xC50).12C2^2	400,43
(C₂×C₅₀).₁₃C₂² = C₂²⋊C₄×C₂₅	central extension (φ=1)	200		(C2xC50).13C2^2	400,21
(C₂×C₅₀).₁₄C₂² = C₄⋊C₄×C₂₅	central extension (φ=1)	400		(C2xC50).14C2^2	400,22
(C₂×C₅₀).₁₅C₂² = Q₈×C₅₀	central extension (φ=1)	400		(C2xC50).15C2^2	400,47

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