Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₂²⋊C₄

		d	ρ	Label	ID
C₅×C₂²⋊C₄		40		C5xC2^2:C4	80,21

Semidirect products G=N:Q with N=C₅ and Q=C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂²⋊C₄) = C₂²⋊F₅	φ: C₂²⋊C₄/C₂² → C₄ ⊆ Aut C₅	20	4+	C5:(C2^2:C4)	80,34
C₅⋊₂(C₂²⋊C₄) = D₁₀⋊C₄	φ: C₂²⋊C₄/C₂×C₄ → C₂ ⊆ Aut C₅	40		C5:2(C2^2:C4)	80,14
C₅⋊₃(C₂²⋊C₄) = C₂³.D₅	φ: C₂²⋊C₄/C₂³ → C₂ ⊆ Aut C₅	40		C5:3(C2^2:C4)	80,19

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