Extensions 1→N→G→Q→1 with N=C₃ and Q=D₂₀⋊₅C₄

Direct product G=N×Q with N=C₃ and Q=D₂₀⋊₅C₄

		d	ρ	Label	ID
C₃×D₂₀⋊₅C₄		240		C3xD20:5C4	480,99

Semidirect products G=N:Q with N=C₃ and Q=D₂₀⋊₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₂₀⋊₅C₄) = D₆₀⋊₁₂C₄	φ: D₂₀⋊₅C₄/C₄⋊Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(D20:5C4)	480,44
C₃⋊₂(D₂₀⋊₅C₄) = D₆₀⋊₈C₄	φ: D₂₀⋊₅C₄/C₂×C₄₀ → C₂ ⊆ Aut C₃	240		C3:2(D20:5C4)	480,181
C₃⋊₃(D₂₀⋊₅C₄) = C₆.D₄₀	φ: D₂₀⋊₅C₄/C₂×D₂₀ → C₂ ⊆ Aut C₃	240		C3:3(D20:5C4)	480,41

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