C_n D_n S_n A_n ...

Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×2_-⁽¹⁺⁴⁾

Direct product G=N×Q with N=C₅ and Q=C₂×2_-⁽¹⁺⁴⁾

		d	ρ	Label	ID
C₁₀×2_-⁽¹⁺⁴⁾		160		C10xES-(2,2)	320,1633

Semidirect products G=N:Q with N=C₅ and Q=C₂×2_-⁽¹⁺⁴⁾

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×2_-⁽¹⁺⁴⁾) = C₂×Q₈.₁₀D₁₀	φ: C₂×2_-⁽¹⁺⁴⁾/C₂²×Q₈ → C₂ ⊆ Aut C₅	160		C5:1(C2xES-(2,2))	320,1617
C₅⋊₂(C₂×2_-⁽¹⁺⁴⁾) = C₂×D₄.₁₀D₁₀	φ: C₂×2_-⁽¹⁺⁴⁾/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	160		C5:2(C2xES-(2,2))	320,1620
C₅⋊₃(C₂×2_-⁽¹⁺⁴⁾) = D₅×2_-⁽¹⁺⁴⁾	φ: C₂×2_-⁽¹⁺⁴⁾/2_-⁽¹⁺⁴⁾ → C₂ ⊆ Aut C₅	80	8-	C5:3(C2xES-(2,2))	320,1624

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