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

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

		d	ρ	Label	ID
C₅×D₄⋊D₆		120	4	C5xD4:D6	480,828

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄⋊D₆) = D₂₀⋊₁₉D₆	φ: D₄⋊D₆/C₄.Dic₃ → C₂ ⊆ Aut C₅	120	4+	C5:1(D4:D6)	480,377
C₅⋊₂(D₄⋊D₆) = Dic₁₀⋊₃D₆	φ: D₄⋊D₆/D₄⋊S₃ → C₂ ⊆ Aut C₅	120	8+	C5:2(D4:D6)	480,554
C₅⋊₃(D₄⋊D₆) = D₂₀⋊D₆	φ: D₄⋊D₆/Q₈⋊₂S₃ → C₂ ⊆ Aut C₅	120	8+	C5:3(D4:D6)	480,578
C₅⋊₄(D₄⋊D₆) = D₂₀⋊₂₁D₆	φ: D₄⋊D₆/C₂×D₁₂ → C₂ ⊆ Aut C₅	120	4	C5:4(D4:D6)	480,375
C₅⋊₅(D₄⋊D₆) = D₄⋊D₃₀	φ: D₄⋊D₆/C₃×C₄○D₄ → C₂ ⊆ Aut C₅	120	4+	C5:5(D4:D6)	480,914

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