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

Direct product G=N×Q with N=C₂₀ and Q=C₃⋊C₈

		d	ρ	Label	ID
C₂₀×C₃⋊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) = C₄×C₁₅⋊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) = C₄×C₁₅⋊₃C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₂₀	480		C20:4(C3:C8)	480,162
C₂₀⋊₅(C₃⋊C₈) = C₅×C₁₂⋊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) = C₂×C₁₅⋊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) = C₂×C₁₅⋊₃C₁₆	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₂₀	480		C20.6(C3:C8)	480,171
C₂₀.₇(C₃⋊C₈) = C₅×C₁₂.C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₂₀	240	2	C20.7(C3:C8)	480,131
C₂₀.₈(C₃⋊C₈) = C₅×C₃⋊C₃₂	central extension (φ=1)	480	2	C20.8(C3:C8)	480,1
C₂₀.₉(C₃⋊C₈) = C₁₀×C₃⋊C₁₆	central extension (φ=1)	480		C20.9(C3:C8)	480,130

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