Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄²:₆C₄

Direct product G=NxQ with N=C₅ and Q=C₄²:₆C₄

		d	ρ	Label	ID
C₅xC₄²:₆C₄		80		C5xC4^2:6C4	320,144

Semidirect products G=N:Q with N=C₅ and Q=C₄²:₆C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₄²:₆C₄) = C₄²:₆F₅	φ: C₄²:₆C₄/C₄² → C₄ ⊆ Aut C₅	40	4	C5:1(C4^2:6C4)	320,200
C₅:₂(C₄²:₆C₄) = C₂₀.C₄²	φ: C₄²:₆C₄/C₄:C₄ → C₄ ⊆ Aut C₅	80		C5:2(C4^2:6C4)	320,213
C₅:₃(C₄²:₆C₄) = M₄(2):₃F₅	φ: C₄²:₆C₄/M₄(2) → C₄ ⊆ Aut C₅	40	8	C5:3(C4^2:6C4)	320,238
C₅:₄(C₄²:₆C₄) = C₄²:₆Dic₅	φ: C₄²:₆C₄/C₂xC₄² → C₂ ⊆ Aut C₅	80		C5:4(C4^2:6C4)	320,81
C₅:₅(C₄²:₆C₄) = C₂₀.₃₂C₄²	φ: C₄²:₆C₄/C₄²:C₂ → C₂ ⊆ Aut C₅	80		C5:5(C4^2:6C4)	320,90
C₅:₆(C₄²:₆C₄) = C₂₀.₃₃C₄²	φ: C₄²:₆C₄/C₂xM₄(2) → C₂ ⊆ Aut C₅	80		C5:6(C4^2:6C4)	320,113

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