Extensions 1→N→G→Q→1 with N=Q₈:₂D₅ and Q=C₄

Direct product G=NxQ with N=Q₈:₂D₅ and Q=C₄

		d	ρ	Label	ID
C₄xQ₈:₂D₅		160		C4xQ8:2D5	320,1245

Semidirect products G=N:Q with N=Q₈:₂D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:₂D₅:₁C₄ = Q₈:(C₄xD₅)	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₅	160		Q8:2D5:1C4	320,430
Q₈:₂D₅:₂C₄ = Q₈:₂D₅:C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₅	160		Q8:2D5:2C4	320,431
Q₈:₂D₅:₃C₄ = D₅xC₄wrC₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₅	40	4	Q8:2D5:3C4	320,447
Q₈:₂D₅:₄C₄ = C₄²:D₁₀	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₅	80	4	Q8:2D5:4C4	320,448
Q₈:₂D₅:₅C₄ = C₄².₁₂₆D₁₀	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₅	160		Q8:2D5:5C4	320,1246
Q₈:₂D₅:₆C₄ = C₂xQ₈:₂F₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₅	80		Q8:2D5:6C4	320,1121
Q₈:₂D₅:₇C₄ = (C₂xQ₈):₆F₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₅	80	8+	Q8:2D5:7C4	320,1122
Q₈:₂D₅:₈C₄ = C₄oD₄:F₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₅	40	8	Q8:2D5:8C4	320,1131
Q₈:₂D₅:₉C₄ = C₄oD₂₀:C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₅	80	8	Q8:2D5:9C4	320,1132
Q₈:₂D₅:₁₀C₄ = C₄oD₄xF₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₅	40	8	Q8:2D5:10C4	320,1603
Q₈:₂D₅:₁₁C₄ = D₅.2₊¹⁺⁴	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₅	40	8	Q8:2D5:11C4	320,1604

Non-split extensions G=N.Q with N=Q₈:₂D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:₂D₅.₁C₄ = C₂₀.₇₂C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₅	80	4	Q8:2D5.1C4	320,1422
Q₈:₂D₅.₂C₄ = C₂xQ₈.F₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₅	160		Q8:2D5.2C4	320,1597
Q₈:₂D₅.₃C₄ = Dic₅.₂₀C₂⁴	φ: C₄/C₂ → C₂ ⊆ Out Q₈:₂D₅	80	8+	Q8:2D5.3C4	320,1598
Q₈:₂D₅.₄C₄ = D₅xC₈oD₄	φ: trivial image	80	4	Q8:2D5.4C4	320,1421

׿

x

:

Z

F

o

wr

Q

<