Extensions 1→N→G→Q→1 with N=C₂₀ and Q=C₃:C₈

Direct product G=NxQ with N=C₂₀ and Q=C₃:C₈

		d	ρ	Label	ID
C₂₀xC₃:C₈		480		C20xC3:C8	480,121

Semidirect products G=N:Q with N=C₂₀ and Q=C₃:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀:₁(C₃:C₈) = C₆₀:C₈	φ: C₃:C₈/C₆ → C₄ ⊆ Aut C₂₀	480		C20:1(C3:C8)	480,306
C₂₀:₂(C₃:C₈) = C₄xC₁₅:C₈	φ: C₃:C₈/C₆ → C₄ ⊆ Aut C₂₀	480		C20:2(C3:C8)	480,305
C₂₀:₃(C₃:C₈) = C₆₀:₅C₈	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂₀	480		C20:3(C3:C8)	480,164
C₂₀:₄(C₃:C₈) = C₄xC₁₅:₃C₈	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂₀	480		C20:4(C3:C8)	480,162
C₂₀:₅(C₃:C₈) = C₅xC₁₂:C₈	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂₀	480		C20:5(C3:C8)	480,123

Non-split extensions G=N.Q with N=C₂₀ and Q=C₃:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁(C₃:C₈) = C₆₀.C₈	φ: C₃:C₈/C₆ → C₄ ⊆ Aut C₂₀	240	4	C20.1(C3:C8)	480,303
C₂₀.₂(C₃:C₈) = C₁₅:C₃₂	φ: C₃:C₈/C₆ → C₄ ⊆ Aut C₂₀	480	4	C20.2(C3:C8)	480,6
C₂₀.₃(C₃:C₈) = C₂xC₁₅:C₁₆	φ: C₃:C₈/C₆ → C₄ ⊆ Aut C₂₀	480		C20.3(C3:C8)	480,302
C₂₀.₄(C₃:C₈) = C₆₀.₇C₈	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂₀	240	2	C20.4(C3:C8)	480,172
C₂₀.₅(C₃:C₈) = C₁₅:₃C₃₂	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂₀	480	2	C20.5(C3:C8)	480,3
C₂₀.₆(C₃:C₈) = C₂xC₁₅:₃C₁₆	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂₀	480		C20.6(C3:C8)	480,171
C₂₀.₇(C₃:C₈) = C₅xC₁₂.C₈	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂₀	240	2	C20.7(C3:C8)	480,131
C₂₀.₈(C₃:C₈) = C₅xC₃:C₃₂	central extension (φ=1)	480	2	C20.8(C3:C8)	480,1
C₂₀.₉(C₃:C₈) = C₁₀xC₃:C₁₆	central extension (φ=1)	480		C20.9(C3:C8)	480,130

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