Extensions 1→N→G→Q→1 with N=C₅² and Q=Q₁₆

Direct product G=NxQ with N=C₅² and Q=Q₁₆

		d	ρ	Label	ID
Q₁₆xC₅²		400		Q16xC5^2	400,115

Semidirect products G=N:Q with N=C₅² and Q=Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²:Q₁₆ = C₅²:Q₁₆	φ: Q₁₆/C₂ → D₄ ⊆ Aut C₅²	80	4-	C5^2:Q16	400,133
C₅²:₂Q₁₆ = C₅²:₂Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₅²	80	4	C5^2:2Q16	400,69
C₅²:₃Q₁₆ = C₅²:₃Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₅²	80	4-	C5^2:3Q16	400,70
C₅²:₄Q₁₆ = C₅xDic₂₀	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₅²	80	2	C5^2:4Q16	400,80
C₅²:₅Q₁₆ = C₄₀.D₅	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₅²	400		C5^2:5Q16	400,96
C₅²:₆Q₁₆ = C₅xC₅:Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₅²	80	4	C5^2:6Q16	400,90
C₅²:₇Q₁₆ = C₅²:₇Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₅²	400		C5^2:7Q16	400,106

׿

x

:

Z

F

o

wr

Q

<