Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₂₃D₆

Direct product G=NxQ with N=C₅ and Q=C₂³.₂₃D₆

		d	ρ	Label	ID
C₅xC₂³.₂₃D₆		240		C5xC2^3.23D6	480,814

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₂₃D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₂³.₂₃D₆) = (C₆xD₅).D₄	φ: C₂³.₂₃D₆/Dic₃:C₄ → C₂ ⊆ Aut C₅	240		C5:1(C2^3.23D6)	480,483
C₅:₂(C₂³.₂₃D₆) = C₆.(C₂xD₂₀)	φ: C₂³.₂₃D₆/C₆.D₄ → C₂ ⊆ Aut C₅	240		C5:2(C2^3.23D6)	480,613
C₅:₃(C₂³.₂₃D₆) = C₂³.₁₇(S₃xD₅)	φ: C₂³.₂₃D₆/C₆.D₄ → C₂ ⊆ Aut C₅	240		C5:3(C2^3.23D6)	480,624
C₅:₄(C₂³.₂₃D₆) = (C₂xC₃₀).D₄	φ: C₂³.₂₃D₆/C₂²xDic₃ → C₂ ⊆ Aut C₅	240		C5:4(C2^3.23D6)	480,612
C₅:₅(C₂³.₂₃D₆) = C₂³.₂₂D₃₀	φ: C₂³.₂₃D₆/C₆xD₄ → C₂ ⊆ Aut C₅	240		C5:5(C2^3.23D6)	480,900

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