Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₀₀

Direct product G=N×Q with N=C₅ and Q=C₁₀₀

		d	ρ	Label	ID
C₅×C₁₀₀		500		C5xC100	500,12

Semidirect products G=N:Q with N=C₅ and Q=C₁₀₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊C₁₀₀ = F₅×C₂₅	φ: C₁₀₀/C₂₅ → C₄ ⊆ Aut C₅	100	4	C5:C100	500,15
C₅⋊₂C₁₀₀ = Dic₅×C₂₅	φ: C₁₀₀/C₅₀ → C₂ ⊆ Aut C₅	100	2	C5:2C100	500,7

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁