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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁C₅₀ = C₂²⋊C₄×C₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₂×C₄	200		(C2xC4):1C50	400,21
(C₂×C₄)⋊₂C₅₀ = D₄×C₅₀	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₂×C₄	200		(C2xC4):2C50	400,46
(C₂×C₄)⋊₃C₅₀ = C₄○D₄×C₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₂×C₄	200	2	(C2xC4):3C50	400,48

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁C₅₀ = C₄⋊C₄×C₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₂×C₄	400		(C2xC4).1C50	400,22
(C₂×C₄).₂C₅₀ = M₄(2)×C₂₅	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₂×C₄	200	2	(C2xC4).2C50	400,24
(C₂×C₄).₃C₅₀ = Q₈×C₅₀	φ: C₅₀/C₂₅ → C₂ ⊆ Aut C₂×C₄	400		(C2xC4).3C50	400,47

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