Extensions 1→N→G→Q→1 with N=C₄² and Q=Dic₅

Direct product G=NxQ with N=C₄² and Q=Dic₅

		d	ρ	Label	ID
C₄²xDic₅		320		C4^2xDic5	320,557

Semidirect products G=N:Q with N=C₄² and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²:₁Dic₅ = C₄²:₁Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₄²	80	4	C4^2:1Dic5	320,89
C₄²:₂Dic₅ = C₄²:Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₄²	80	4	C4^2:2Dic5	320,99
C₄²:₃Dic₅ = C₄²:₃Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₄²	40	4	C4^2:3Dic5	320,103
C₄²:₄Dic₅ = C₄²:₄Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2:4Dic5	320,559
C₄²:₅Dic₅ = C₄²:₅Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2:5Dic5	320,564
C₄²:₆Dic₅ = C₄²:₆Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄²	80		C4^2:6Dic5	320,81
C₄²:₇Dic₅ = C₄xC₄:Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2:7Dic5	320,561
C₄²:₈Dic₅ = C₄²:₈Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2:8Dic5	320,562
C₄²:₉Dic₅ = C₄²:₉Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2:9Dic5	320,563

Non-split extensions G=N.Q with N=C₄² and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁Dic₅ = C₂₀.₄₅C₄²	φ: Dic₅/C₅ → C₄ ⊆ Aut C₄²	80	4	C4^2.1Dic5	320,24
C₄².₂Dic₅ = C₄².Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₄²	80	4	C4^2.2Dic5	320,100
C₄².₃Dic₅ = C₄².₃Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₄²	80	4	C4^2.3Dic5	320,106
C₄².₄Dic₅ = C₄₀.₁₀C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.4Dic5	320,19
C₄².₅Dic₅ = C₂xC₄².D₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.5Dic5	320,548
C₄².₆Dic₅ = C₄².₆Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.6Dic5	320,552
C₄².₇Dic₅ = C₄².₇Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.7Dic5	320,553
C₄².₈Dic₅ = C₂₀:₃C₁₆	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.8Dic5	320,20
C₄².₉Dic₅ = C₄₀.₇C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄²	80	2	C4^2.9Dic5	320,21
C₄².₁₀Dic₅ = C₄xC₄.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.10Dic5	320,549
C₄².₁₁Dic₅ = C₂xC₂₀:₃C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.11Dic5	320,550
C₄².₁₂Dic₅ = C₂₀:₁₃M₄(2)	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.12Dic5	320,551
C₄².₁₃Dic₅ = C₄xC₅:₂C₁₆	central extension (φ=1)	320		C4^2.13Dic5	320,18
C₄².₁₄Dic₅ = C₂xC₄xC₅:₂C₈	central extension (φ=1)	320		C4^2.14Dic5	320,547

׿

x

:

Z

F

o

wr

Q

<