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⁾		80		C10xES+(2,2)	320,1632

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×D₄⋊₆D₁₀	φ: C₂×2₊⁽¹⁺⁴⁾/C₂²×D₄ → C₂ ⊆ Aut C₅	80		C5:1(C2xES+(2,2))	320,1614
C₅⋊₂(C₂×2₊⁽¹⁺⁴⁾) = C₂×D₄⋊₈D₁₀	φ: C₂×2₊⁽¹⁺⁴⁾/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	80		C5:2(C2xES+(2,2))	320,1619
C₅⋊₃(C₂×2₊⁽¹⁺⁴⁾) = D₅×2₊⁽¹⁺⁴⁾	φ: C₂×2₊⁽¹⁺⁴⁾/2₊⁽¹⁺⁴⁾ → C₂ ⊆ Aut C₅	40	8+	C5:3(C2xES+(2,2))	320,1622

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