Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₂³⋊C₄

		d	ρ	Label	ID
C₅×C₂³⋊C₄		40	4	C5xC2^3:C4	160,49

Semidirect products G=N:Q with N=C₅ and Q=C₂³⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³⋊C₄) = D₁₀.D₄	φ: C₂³⋊C₄/C₂×C₄ → C₄ ⊆ Aut C₅	40	4+	C5:1(C2^3:C4)	160,74
C₅⋊₂(C₂³⋊C₄) = C₂³⋊F₅	φ: C₂³⋊C₄/C₂³ → C₄ ⊆ Aut C₅	40	4	C5:2(C2^3:C4)	160,86
C₅⋊₃(C₂³⋊C₄) = C₂³.₁D₁₀	φ: C₂³⋊C₄/C₂²⋊C₄ → C₂ ⊆ Aut C₅	40	4	C5:3(C2^3:C4)	160,13
C₅⋊₄(C₂³⋊C₄) = C₂³⋊Dic₅	φ: C₂³⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₅	40	4	C5:4(C2^3:C4)	160,41

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