Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂.C₂⁵

Direct product G=N×Q with N=C₅ and Q=C₂.C₂⁵

		d	ρ	Label	ID
C₅×C₂.C₂⁵		80	4	C5xC2.C2^5	320,1634

Semidirect products G=N:Q with N=C₅ and Q=C₂.C₂⁵

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂.C₂⁵) = C₁₀.C₂⁵	φ: C₂.C₂⁵/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	80	4	C5:1(C2.C2^5)	320,1621
C₅⋊₂(C₂.C₂⁵) = D₂₀.₃₇C₂³	φ: C₂.C₂⁵/2₊¹⁺⁴ → C₂ ⊆ Aut C₅	80	8-	C5:2(C2.C2^5)	320,1623
C₅⋊₃(C₂.C₂⁵) = D₂₀.₃₉C₂³	φ: C₂.C₂⁵/2_-¹⁺⁴ → C₂ ⊆ Aut C₅	80	8+	C5:3(C2.C2^5)	320,1625

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