Extensions 1→N→G→Q→1 with N=C₃xC₉ and Q=D₅

Direct product G=NxQ with N=C₃xC₉ and Q=D₅

		d	ρ	Label	ID
D₅xC₃xC₉		135		D5xC3xC9	270,5

Semidirect products G=N:Q with N=C₃xC₉ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₉):₁D₅ = C₉xD₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₉	90	2	(C3xC9):1D5	270,13
(C₃xC₉):₂D₅ = C₃xD₄₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₉	90	2	(C3xC9):2D5	270,12
(C₃xC₉):₃D₅ = C₃:D₄₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₉	135		(C3xC9):3D5	270,18

׿

x

:

Z

F

o

wr

Q

<