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

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

		d	ρ	Label	ID
C₂×C₁₀₀		200		C2xC100	200,9

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₀⋊C₄ = C₂×C₂₅⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₅₀	50	4+	C50:C4	200,12
C₅₀⋊₂C₄ = C₂×Dic₂₅	φ: C₄/C₂ → C₂ ⊆ Aut C₅₀	200		C50:2C4	200,7

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₀.C₄ = C₂₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₅₀	200	4-	C50.C4	200,3
C₅₀.₂C₄ = C₂₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₅₀	200	2	C50.2C4	200,1

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