Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₈.C₄

Direct product G=N×Q with N=C₅ and Q=C₂×C₈.C₄

		d	ρ	Label	ID
C₁₀×C₈.C₄		160		C10xC8.C4	320,930

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₈.C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₈.C₄) = C₂×C₄₀.C₄	φ: C₂×C₈.C₄/C₂×C₈ → C₄ ⊆ Aut C₅	160		C5:1(C2xC8.C4)	320,1060
C₅⋊₂(C₂×C₈.C₄) = C₂×D₁₀.Q₈	φ: C₂×C₈.C₄/C₂×C₈ → C₄ ⊆ Aut C₅	160		C5:2(C2xC8.C4)	320,1061
C₅⋊₃(C₂×C₈.C₄) = (C₈×D₅).C₄	φ: C₂×C₈.C₄/C₂×C₈ → C₄ ⊆ Aut C₅	80	4	C5:3(C2xC8.C4)	320,1062
C₅⋊₄(C₂×C₈.C₄) = D₅×C₈.C₄	φ: C₂×C₈.C₄/C₈.C₄ → C₂ ⊆ Aut C₅	80	4	C5:4(C2xC8.C4)	320,519
C₅⋊₅(C₂×C₈.C₄) = C₂×C₄₀.₆C₄	φ: C₂×C₈.C₄/C₂²×C₈ → C₂ ⊆ Aut C₅	160		C5:5(C2xC8.C4)	320,734
C₅⋊₆(C₂×C₈.C₄) = C₂×C₂₀.₅₃D₄	φ: C₂×C₈.C₄/C₂×M₄(2) → C₂ ⊆ Aut C₅	160		C5:6(C2xC8.C4)	320,750

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