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

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

		d	ρ	Label	ID
C₅×D₆⋊D₄		120		C5xD6:D4	480,761

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₆⋊D₄) = D₃₀⋊₅D₄	φ: D₆⋊D₄/D₆⋊C₄ → C₂ ⊆ Aut C₅	120		C5:1(D6:D4)	480,552
C₅⋊₂(D₆⋊D₄) = D₃₀⋊₁₆D₄	φ: D₆⋊D₄/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₅	120		C5:2(D6:D4)	480,847
C₅⋊₃(D₆⋊D₄) = D₃₀⋊₄D₄	φ: D₆⋊D₄/C₂×D₁₂ → C₂ ⊆ Aut C₅	120		C5:3(D6:D4)	480,551
C₅⋊₄(D₆⋊D₄) = D₃₀⋊₁₉D₄	φ: D₆⋊D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	120		C5:4(D6:D4)	480,649
C₅⋊₅(D₆⋊D₄) = (C₂×C₁₀)⋊₁₁D₁₂	φ: D₆⋊D₄/S₃×C₂³ → C₂ ⊆ Aut C₅	120		C5:5(D6:D4)	480,646

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