Extensions 1→N→G→Q→1 with N=C₂xD₄ and Q=Dic₅

Direct product G=NxQ with N=C₂xD₄ and Q=Dic₅

		d	ρ	Label	ID
C₂xD₄xDic₅		160		C2xD4xDic5	320,1467

Semidirect products G=N:Q with N=C₂xD₄ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄):₁Dic₅ = C₄:C₄:Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Out C₂xD₄	80		(C2xD4):1Dic5	320,95
(C₂xD₄):₂Dic₅ = C₄²:₃Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Out C₂xD₄	40	4	(C2xD4):2Dic5	320,103
(C₂xD₄):₃Dic₅ = C₂xD₄:Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	160		(C2xD4):3Dic5	320,841
(C₂xD₄):₄Dic₅ = (D₄xC₁₀):₁₈C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	80		(C2xD4):4Dic5	320,842
(C₂xD₄):₅Dic₅ = C₂xC₂³:Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	80		(C2xD4):5Dic5	320,846
(C₂xD₄):₆Dic₅ = C₂⁴.₁₈D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	160		(C2xD4):6Dic5	320,847
(C₂xD₄):₇Dic₅ = C₂⁴.₁₉D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	160		(C2xD4):7Dic5	320,848
(C₂xD₄):₈Dic₅ = C₂xD₄:₂Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	80		(C2xD4):8Dic5	320,862
(C₂xD₄):₉Dic₅ = (D₄xC₁₀):₂₁C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	80	4	(C2xD4):9Dic5	320,863
(C₂xD₄):₁₀Dic₅ = (D₄xC₁₀):₂₂C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	80	4	(C2xD4):10Dic5	320,867
(C₂xD₄):₁₁Dic₅ = C₂⁴.₃₈D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	80		(C2xD4):11Dic5	320,1470

Non-split extensions G=N.Q with N=C₂xD₄ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄).₁Dic₅ = C₄².₇D₁₀	φ: Dic₅/C₅ → C₄ ⊆ Out C₂xD₄	160		(C2xD4).1Dic5	320,98
(C₂xD₄).₂Dic₅ = C₄².Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Out C₂xD₄	80	4	(C2xD4).2Dic5	320,100
(C₂xD₄).₃Dic₅ = C₂₀.₉D₈	φ: Dic₅/C₅ → C₄ ⊆ Out C₂xD₄	160		(C2xD4).3Dic5	320,102
(C₂xD₄).₄Dic₅ = C₂₀.₅₇D₈	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	160		(C2xD4).4Dic5	320,92
(C₂xD₄).₅Dic₅ = C₄².₄₇D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	160		(C2xD4).5Dic5	320,638
(C₂xD₄).₆Dic₅ = C₂₀:₇M₄(2)	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	160		(C2xD4).6Dic5	320,639
(C₂xD₄).₇Dic₅ = C₂xC₂₀.D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	80		(C2xD4).7Dic5	320,843
(C₂xD₄).₈Dic₅ = (D₄xC₁₀).₂₄C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	160		(C2xD4).8Dic5	320,861
(C₂xD₄).₉Dic₅ = (D₄xC₁₀).₂₉C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	80	4	(C2xD4).9Dic5	320,864
(C₂xD₄).₁₀Dic₅ = C₂₀.₇₆C₂⁴	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xD₄	80	4	(C2xD4).10Dic5	320,1491
(C₂xD₄).₁₁Dic₅ = D₄xC₅:₂C₈	φ: trivial image	160		(C2xD4).11Dic5	320,637
(C₂xD₄).₁₂Dic₅ = C₂xD₄.Dic₅	φ: trivial image	160		(C2xD4).12Dic5	320,1490

׿

x

:

Z

F

o

wr

Q

<