Extensions 1→N→G→Q→1 with N=C₅xC₁₀ and Q=C₈

Direct product G=NxQ with N=C₅xC₁₀ and Q=C₈

		d	ρ	Label	ID
C₁₀xC₄₀		400		C10xC40	400,111

Semidirect products G=N:Q with N=C₅xC₁₀ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅xC₁₀):C₈ = C₂xC₅²:C₈	φ: C₈/C₁ → C₈ ⊆ Aut C₅xC₁₀	20	8+	(C5xC10):C8	400,208
(C₅xC₁₀):₂C₈ = C₁₀xC₅:C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₅xC₁₀	80		(C5xC10):2C8	400,139
(C₅xC₁₀):₃C₈ = C₂xC₅²:₃C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₅xC₁₀	80		(C5xC10):3C8	400,146
(C₅xC₁₀):₄C₈ = C₂xC₅²:₄C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₅xC₁₀	400		(C5xC10):4C8	400,153
(C₅xC₁₀):₅C₈ = C₂xC₅²:₅C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₅xC₁₀	80		(C5xC10):5C8	400,160
(C₅xC₁₀):₆C₈ = C₁₀xC₅:₂C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₅xC₁₀	80		(C5xC10):6C8	400,81
(C₅xC₁₀):₇C₈ = C₂xC₅²:₇C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₅xC₁₀	400		(C5xC10):7C8	400,97

Non-split extensions G=N.Q with N=C₅xC₁₀ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅xC₁₀).C₈ = C₅²:C₁₆	φ: C₈/C₁ → C₈ ⊆ Aut C₅xC₁₀	80	8-	(C5xC10).C8	400,116
(C₅xC₁₀).₂C₈ = C₅xC₅:C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₅xC₁₀	80	4	(C5xC10).2C8	400,56
(C₅xC₁₀).₃C₈ = C₅²:₃C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₅xC₁₀	80	4	(C5xC10).3C8	400,57
(C₅xC₁₀).₄C₈ = C₅²:₄C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₅xC₁₀	400		(C5xC10).4C8	400,58
(C₅xC₁₀).₅C₈ = C₅²:₅C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₅xC₁₀	80	4	(C5xC10).5C8	400,59
(C₅xC₁₀).₆C₈ = C₅xC₅:₂C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₅xC₁₀	80	2	(C5xC10).6C8	400,49
(C₅xC₁₀).₇C₈ = C₅²:₇C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₅xC₁₀	400		(C5xC10).7C8	400,50

׿

x

:

Z

F

o

wr

Q

<