Extensions 1→N→G→Q→1 with N=C₂xC₅:D₄ and Q=C₂

Direct product G=NxQ with N=C₂xC₅:D₄ and Q=C₂

		d	ρ	Label	ID
C₂²xC₅:D₄		80		C2^2xC5:D4	160,227

Semidirect products G=N:Q with N=C₂xC₅:D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₅:D₄):₁C₂ = C₂²:D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	40		(C2xC5:D4):1C2	160,103
(C₂xC₅:D₄):₂C₂ = D₁₀:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	80		(C2xC5:D4):2C2	160,105
(C₂xC₅:D₄):₃C₂ = C₂₀:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	80		(C2xC5:D4):3C2	160,151
(C₂xC₅:D₄):₄C₂ = C₂³:D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	40		(C2xC5:D4):4C2	160,158
(C₂xC₅:D₄):₅C₂ = C₂₀:₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	80		(C2xC5:D4):5C2	160,159
(C₂xC₅:D₄):₆C₂ = Dic₅:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	80		(C2xC5:D4):6C2	160,160
(C₂xC₅:D₄):₇C₂ = C₂₀:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	80		(C2xC5:D4):7C2	160,161
(C₂xC₅:D₄):₈C₂ = C₂⁴:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	40		(C2xC5:D4):8C2	160,174
(C₂xC₅:D₄):₉C₂ = C₂xD₄xD₅	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	40		(C2xC5:D4):9C2	160,217
(C₂xC₅:D₄):₁₀C₂ = C₂xD₄:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	80		(C2xC5:D4):10C2	160,218
(C₂xC₅:D₄):₁₁C₂ = D₄:₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	40	4	(C2xC5:D4):11C2	160,219
(C₂xC₅:D₄):₁₂C₂ = C₂xC₄oD₂₀	φ: trivial image	80		(C2xC5:D4):12C2	160,216

Non-split extensions G=N.Q with N=C₂xC₅:D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₅:D₄).₁C₂ = C₂³.₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	40	4	(C2xC5:D4).1C2	160,13
(C₂xC₅:D₄).₂C₂ = Dic₅:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	80		(C2xC5:D4).2C2	160,102
(C₂xC₅:D₄).₃C₂ = D₁₀.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	80		(C2xC5:D4).3C2	160,104
(C₂xC₅:D₄).₄C₂ = Dic₅.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	80		(C2xC5:D4).4C2	160,106
(C₂xC₅:D₄).₅C₂ = C₂².D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	80		(C2xC5:D4).5C2	160,107
(C₂xC₅:D₄).₆C₂ = C₂³.₂₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	80		(C2xC5:D4).6C2	160,150
(C₂xC₅:D₄).₇C₂ = C₂³:F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	40	4	(C2xC5:D4).7C2	160,86
(C₂xC₅:D₄).₈C₂ = C₂³.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅:D₄	40	4	(C2xC5:D4).8C2	160,88
(C₂xC₅:D₄).₉C₂ = C₄xC₅:D₄	φ: trivial image	80		(C2xC5:D4).9C2	160,149

׿

x

:

Z

F

o

wr

Q

<