Extensions 1→N→G→Q→1 with N=C₃ and Q=D₂₀⋊₆C₄

Direct product G=N×Q with N=C₃ and Q=D₂₀⋊₆C₄

		d	ρ	Label	ID
C₃×D₂₀⋊₆C₄		240		C3xD20:6C4	480,87

Semidirect products G=N:Q with N=C₃ and Q=D₂₀⋊₆C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₂₀⋊₆C₄) = D₆₀⋊₁₅C₄	φ: D₂₀⋊₆C₄/C₂×C₅⋊₂C₈ → C₂ ⊆ Aut C₃	240		C3:1(D20:6C4)	480,45
C₃⋊₂(D₂₀⋊₆C₄) = D₆₀⋊₉C₄	φ: D₂₀⋊₆C₄/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(D20:6C4)	480,169
C₃⋊₃(D₂₀⋊₆C₄) = C₃₀.D₈	φ: D₂₀⋊₆C₄/C₂×D₂₀ → C₂ ⊆ Aut C₃	240		C3:3(D20:6C4)	480,40

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