Extensions 1→N→G→Q→1 with N=C₅ and Q=D₆⋊₃D₄

Direct product G=N×Q with N=C₅ and Q=D₆⋊₃D₄

		d	ρ	Label	ID
C₅×D₆⋊₃D₄		240		C5xD6:3D4	480,817

Semidirect products G=N:Q with N=C₅ and Q=D₆⋊₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₆⋊₃D₄) = C₁₂⋊₂D₂₀	φ: D₆⋊₃D₄/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	240		C5:1(D6:3D4)	480,541
C₅⋊₂(D₆⋊₃D₄) = D₃₀⋊₆D₄	φ: D₆⋊₃D₄/C₆.D₄ → C₂ ⊆ Aut C₅	240		C5:2(D6:3D4)	480,609
C₅⋊₃(D₆⋊₃D₄) = C₆₀⋊₄D₄	φ: D₆⋊₃D₄/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	240		C5:3(D6:3D4)	480,532
C₅⋊₄(D₆⋊₃D₄) = (S₃×C₁₀)⋊D₄	φ: D₆⋊₃D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	240		C5:4(D6:3D4)	480,641
C₅⋊₅(D₆⋊₃D₄) = C₆₀⋊₂D₄	φ: D₆⋊₃D₄/C₆×D₄ → C₂ ⊆ Aut C₅	240		C5:5(D6:3D4)	480,903

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