Extensions 1→N→G→Q→1 with N=C₂xD₄ and Q=C₁₀

Direct product G=NxQ with N=C₂xD₄ and Q=C₁₀

		d	ρ	Label	ID
D₄xC₂xC₁₀		80		D4xC2xC10	160,229

Semidirect products G=N:Q with N=C₂xD₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄):₁C₁₀ = C₅xC₂²wrC₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xD₄	40		(C2xD4):1C10	160,181
(C₂xD₄):₂C₁₀ = C₅xC₄:D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4):2C10	160,182
(C₂xD₄):₃C₁₀ = C₅xC₄:₁D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4):3C10	160,188
(C₂xD₄):₄C₁₀ = C₁₀xD₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4):4C10	160,193
(C₂xD₄):₅C₁₀ = C₅xC₈:C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xD₄	40	4	(C2xD4):5C10	160,197
(C₂xD₄):₆C₁₀ = C₅x2₊¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xD₄	40	4	(C2xD4):6C10	160,232
(C₂xD₄):₇C₁₀ = C₁₀xC₄oD₄	φ: trivial image	80		(C2xD4):7C10	160,231

Non-split extensions G=N.Q with N=C₂xD₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄).₁C₁₀ = C₅xC₂³:C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xD₄	40	4	(C2xD4).1C10	160,49
(C₂xD₄).₂C₁₀ = C₅xC₄.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xD₄	40	4	(C2xD4).2C10	160,50
(C₂xD₄).₃C₁₀ = C₅xD₄:C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4).3C10	160,52
(C₂xD₄).₄C₁₀ = C₅xC₂².D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4).4C10	160,184
(C₂xD₄).₅C₁₀ = C₅xC₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4).5C10	160,185
(C₂xD₄).₆C₁₀ = C₁₀xSD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂xD₄	80		(C2xD4).6C10	160,194
(C₂xD₄).₇C₁₀ = D₄xC₂₀	φ: trivial image	80		(C2xD4).7C10	160,179

׿

x

:

Z

F

o

wr

Q

<