Extensions 1→N→G→Q→1 with N=C₃ and Q=D₁₀⋊C₄

Direct product G=N×Q with N=C₃ and Q=D₁₀⋊C₄

		d	ρ	Label	ID
C₃×D₁₀⋊C₄		120		C3xD10:C4	240,43

Semidirect products G=N:Q with N=C₃ and Q=D₁₀⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₁₀⋊C₄) = D₃₀⋊₄C₄	φ: D₁₀⋊C₄/C₂×Dic₅ → C₂ ⊆ Aut C₃	120		C3:1(D10:C4)	240,28
C₃⋊₂(D₁₀⋊C₄) = D₃₀⋊₃C₄	φ: D₁₀⋊C₄/C₂×C₂₀ → C₂ ⊆ Aut C₃	120		C3:2(D10:C4)	240,75
C₃⋊₃(D₁₀⋊C₄) = D₁₀⋊Dic₃	φ: D₁₀⋊C₄/C₂²×D₅ → C₂ ⊆ Aut C₃	120		C3:3(D10:C4)	240,26

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