Extensions 1→N→G→Q→1 with N=C₉ and Q=C₄xD₄

Direct product G=NxQ with N=C₉ and Q=C₄xD₄

		d	ρ	Label	ID
D₄xC₃₆		144		D4xC36	288,168

Semidirect products G=N:Q with N=C₉ and Q=C₄xD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉:₁(C₄xD₄) = C₄xD₃₆	φ: C₄xD₄/C₄² → C₂ ⊆ Aut C₉	144		C9:1(C4xD4)	288,83
C₉:₂(C₄xD₄) = Dic₉:₄D₄	φ: C₄xD₄/C₂²:C₄ → C₂ ⊆ Aut C₉	144		C9:2(C4xD4)	288,91
C₉:₃(C₄xD₄) = D₃₆:C₄	φ: C₄xD₄/C₄:C₄ → C₂ ⊆ Aut C₉	144		C9:3(C4xD4)	288,103
C₉:₄(C₄xD₄) = C₄xC₉:D₄	φ: C₄xD₄/C₂²xC₄ → C₂ ⊆ Aut C₉	144		C9:4(C4xD4)	288,138
C₉:₅(C₄xD₄) = D₄xDic₉	φ: C₄xD₄/C₂xD₄ → C₂ ⊆ Aut C₉	144		C9:5(C4xD4)	288,144

׿

x

:

Z

F

o

wr

Q

<