Extensions 1→N→G→Q→1 with N=C₂² and Q=C₈xD₅

Direct product G=NxQ with N=C₂² and Q=C₈xD₅

		d	ρ	Label	ID
D₅xC₂²xC₈		160		D5xC2^2xC8	320,1408

Semidirect products G=N:Q with N=C₂² and Q=C₈xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(C₈xD₅) = C₅:₅(C₈xD₄)	φ: C₈xD₅/C₅:₂C₈ → C₂ ⊆ Aut C₂²	160		C2^2:1(C8xD5)	320,352
C₂²:₂(C₈xD₅) = C₈xC₅:D₄	φ: C₈xD₅/C₄₀ → C₂ ⊆ Aut C₂²	160		C2^2:2(C8xD5)	320,736
C₂²:₃(C₈xD₅) = D₅xC₂²:C₈	φ: C₈xD₅/C₄xD₅ → C₂ ⊆ Aut C₂²	80		C2^2:3(C8xD5)	320,351

Non-split extensions G=N.Q with N=C₂² and Q=C₈xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₈xD₅) = D₂₀.₅C₈	φ: C₈xD₅/C₅:₂C₈ → C₂ ⊆ Aut C₂²	160	4	C2^2.1(C8xD5)	320,534
C₂².₂(C₈xD₅) = D₂₀.₆C₈	φ: C₈xD₅/C₄₀ → C₂ ⊆ Aut C₂²	160	2	C2^2.2(C8xD5)	320,528
C₂².₃(C₈xD₅) = C₅:₃(C₂³:C₈)	φ: C₈xD₅/C₄xD₅ → C₂ ⊆ Aut C₂²	80		C2^2.3(C8xD5)	320,26
C₂².₄(C₈xD₅) = (C₂xDic₅):C₈	φ: C₈xD₅/C₄xD₅ → C₂ ⊆ Aut C₂²	160		C2^2.4(C8xD5)	320,27
C₂².₅(C₈xD₅) = C₈.₂₅D₂₀	φ: C₈xD₅/C₄xD₅ → C₂ ⊆ Aut C₂²	80	4	C2^2.5(C8xD5)	320,72
C₂².₆(C₈xD₅) = Dic₅.₁₄M₄(2)	φ: C₈xD₅/C₄xD₅ → C₂ ⊆ Aut C₂²	160		C2^2.6(C8xD5)	320,345
C₂².₇(C₈xD₅) = D₅xM₅(2)	φ: C₈xD₅/C₄xD₅ → C₂ ⊆ Aut C₂²	80	4	C2^2.7(C8xD5)	320,533
C₂².₈(C₈xD₅) = C₁₆xDic₅	central extension (φ=1)	320		C2^2.8(C8xD5)	320,58
C₂².₉(C₈xD₅) = C₄₀.₈₈D₄	central extension (φ=1)	320		C2^2.9(C8xD5)	320,59
C₂².₁₀(C₈xD₅) = C₈₀:₁₇C₄	central extension (φ=1)	320		C2^2.10(C8xD5)	320,60
C₂².₁₁(C₈xD₅) = D₁₀:₁C₁₆	central extension (φ=1)	160		C2^2.11(C8xD5)	320,65
C₂².₁₂(C₈xD₅) = (C₂xC₄₀):₁₅C₄	central extension (φ=1)	320		C2^2.12(C8xD5)	320,108
C₂².₁₃(C₈xD₅) = D₅xC₂xC₁₆	central extension (φ=1)	160		C2^2.13(C8xD5)	320,526
C₂².₁₄(C₈xD₅) = C₂xC₈₀:C₂	central extension (φ=1)	160		C2^2.14(C8xD5)	320,527
C₂².₁₅(C₈xD₅) = C₂xC₈xDic₅	central extension (φ=1)	320		C2^2.15(C8xD5)	320,725
C₂².₁₆(C₈xD₅) = C₂xC₂₀.₈Q₈	central extension (φ=1)	320		C2^2.16(C8xD5)	320,726
C₂².₁₇(C₈xD₅) = C₂xD₁₀:₁C₈	central extension (φ=1)	160		C2^2.17(C8xD5)	320,735

׿

x

:

Z

F

o

wr

Q

<