Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈.₁₂D₄

Direct product G=N×Q with N=C₅ and Q=C₈.₁₂D₄

		d	ρ	Label	ID
C₅×C₈.₁₂D₄		160		C5xC8.12D4	320,996

Semidirect products G=N:Q with N=C₅ and Q=C₈.₁₂D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈.₁₂D₄) = C₈.₈D₂₀	φ: C₈.₁₂D₄/C₄×C₈ → C₂ ⊆ Aut C₅	160		C5:1(C8.12D4)	320,323
C₅⋊₂(C₈.₁₂D₄) = C₄².₂₁₄D₁₀	φ: C₈.₁₂D₄/C₄.₄D₄ → C₂ ⊆ Aut C₅	160		C5:2(C8.12D4)	320,686
C₅⋊₃(C₈.₁₂D₄) = C₄₀.₂₂D₄	φ: C₈.₁₂D₄/C₂×D₈ → C₂ ⊆ Aut C₅	160		C5:3(C8.12D4)	320,782
C₅⋊₄(C₈.₁₂D₄) = C₄₀.₄₃D₄	φ: C₈.₁₂D₄/C₂×SD₁₆ → C₂ ⊆ Aut C₅	160		C5:4(C8.12D4)	320,795
C₅⋊₅(C₈.₁₂D₄) = C₄₀.₂₈D₄	φ: C₈.₁₂D₄/C₂×Q₁₆ → C₂ ⊆ Aut C₅	160		C5:5(C8.12D4)	320,818

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