Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄⋊₆D₆

Direct product G=N×Q with N=C₅ and Q=D₄⋊₆D₆

		d	ρ	Label	ID
C₅×D₄⋊₆D₆		120	4	C5xD4:6D6	480,1156

Semidirect products G=N:Q with N=C₅ and Q=D₄⋊₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄⋊₆D₆) = D₂₀⋊₂₅D₆	φ: D₄⋊₆D₆/C₄○D₁₂ → C₂ ⊆ Aut C₅	120	4	C5:1(D4:6D6)	480,1093
C₅⋊₂(D₄⋊₆D₆) = D₂₀⋊₁₃D₆	φ: D₄⋊₆D₆/S₃×D₄ → C₂ ⊆ Aut C₅	120	8-	C5:2(D4:6D6)	480,1101
C₅⋊₃(D₄⋊₆D₆) = D₂₀⋊₁₄D₆	φ: D₄⋊₆D₆/D₄⋊₂S₃ → C₂ ⊆ Aut C₅	120	8+	C5:3(D4:6D6)	480,1102
C₅⋊₄(D₄⋊₆D₆) = C₁₅⋊2₊¹⁺⁴	φ: D₄⋊₆D₆/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	120	4	C5:4(D4:6D6)	480,1125
C₅⋊₅(D₄⋊₆D₆) = D₄⋊₆D₃₀	φ: D₄⋊₆D₆/C₆×D₄ → C₂ ⊆ Aut C₅	120	4	C5:5(D4:6D6)	480,1171

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