Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₂₃D₄

Direct product G=N×Q with N=C₅ and Q=C₂³.₂₃D₄

		d	ρ	Label	ID
C₅×C₂³.₂₃D₄		160		C5xC2^3.23D4	320,887

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₂₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂³.₂₃D₄) = (C₂×F₅)⋊D₄	φ: C₂³.₂₃D₄/C₂×D₄ → C₄ ⊆ Aut C₅	40		C5:(C2^3.23D4)	320,1117
C₅⋊₂(C₂³.₂₃D₄) = (C₂×C₄)⋊₉D₂₀	φ: C₂³.₂₃D₄/C₂.C₄² → C₂ ⊆ Aut C₅	160		C5:2(C2^3.23D4)	320,292
C₅⋊₃(C₂³.₂₃D₄) = C₂⁴.₁₂D₁₀	φ: C₂³.₂₃D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₅	160		C5:3(C2^3.23D4)	320,583
C₅⋊₄(C₂³.₂₃D₄) = C₂³.₄₅D₂₀	φ: C₂³.₂₃D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₅	160		C5:4(C2^3.23D4)	320,585
C₅⋊₅(C₂³.₂₃D₄) = C₂⁴.₆₅D₁₀	φ: C₂³.₂₃D₄/C₂³×C₄ → C₂ ⊆ Aut C₅	160		C5:5(C2^3.23D4)	320,840
C₅⋊₆(C₂³.₂₃D₄) = C₂⁴.₁₈D₁₀	φ: C₂³.₂₃D₄/C₂²×D₄ → C₂ ⊆ Aut C₅	160		C5:6(C2^3.23D4)	320,847

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