Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄²:C₂²

Direct product G=NxQ with N=C₅ and Q=C₄²:C₂²

		d	ρ	Label	ID
C₅xC₄²:C₂²		80	4	C5xC4^2:C2^2	320,922

Semidirect products G=N:Q with N=C₅ and Q=C₄²:C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₄²:C₂²) = (C₂xD₄):₆F₅	φ: C₄²:C₂²/C₂xD₄ → C₄ ⊆ Aut C₅	80	8-	C5:1(C4^2:C2^2)	320,1107
C₅:₂(C₄²:C₂²) = (C₂xQ₈):₆F₅	φ: C₄²:C₂²/C₂xQ₈ → C₄ ⊆ Aut C₅	80	8+	C5:2(C4^2:C2^2)	320,1122
C₅:₃(C₄²:C₂²) = D₄:F₅:C₂	φ: C₄²:C₂²/C₄oD₄ → C₄ ⊆ Aut C₅	80	8	C5:3(C4^2:C2^2)	320,1133
C₅:₄(C₄²:C₂²) = C₄²:D₁₀	φ: C₄²:C₂²/C₄wrC₂ → C₂ ⊆ Aut C₅	80	4	C5:4(C4^2:C2^2)	320,448
C₅:₅(C₄²:C₂²) = C₄²:₄D₁₀	φ: C₄²:C₂²/C₄²:C₂ → C₂ ⊆ Aut C₅	80	4	C5:5(C4^2:C2^2)	320,632
C₅:₆(C₄²:C₂²) = C₂³.₂₀D₂₀	φ: C₄²:C₂²/C₂xM₄(2) → C₂ ⊆ Aut C₅	80	4	C5:6(C4^2:C2^2)	320,766
C₅:₇(C₄²:C₂²) = (D₄xC₁₀):₂₁C₄	φ: C₄²:C₂²/C₂xC₄oD₄ → C₂ ⊆ Aut C₅	80	4	C5:7(C4^2:C2^2)	320,863

׿

x

:

Z

F

o

wr

Q

<