Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅xC₄oD₄

Direct product G=NxQ with N=C₃ and Q=D₅xC₄oD₄

		d	ρ	Label	ID
C₃xD₅xC₄oD₄		120	4	C3xD5xC4oD4	480,1145

Semidirect products G=N:Q with N=C₃ and Q=D₅xC₄oD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(D₅xC₄oD₄) = D₅xC₄oD₁₂	φ: D₅xC₄oD₄/C₂xC₄xD₅ → C₂ ⊆ Aut C₃	120	4	C3:1(D5xC4oD4)	480,1090
C₃:₂(D₅xC₄oD₄) = D₂₀:₂₄D₆	φ: D₅xC₄oD₄/C₄oD₂₀ → C₂ ⊆ Aut C₃	120	4	C3:2(D5xC4oD4)	480,1092
C₃:₃(D₅xC₄oD₄) = D₅xD₄:₂S₃	φ: D₅xC₄oD₄/D₄xD₅ → C₂ ⊆ Aut C₃	120	8-	C3:3(D5xC4oD4)	480,1098
C₃:₄(D₅xC₄oD₄) = D₃₀.C₂³	φ: D₅xC₄oD₄/D₄:₂D₅ → C₂ ⊆ Aut C₃	120	8+	C3:4(D5xC4oD4)	480,1100
C₃:₅(D₅xC₄oD₄) = D₅xQ₈:₃S₃	φ: D₅xC₄oD₄/Q₈xD₅ → C₂ ⊆ Aut C₃	120	8+	C3:5(D5xC4oD4)	480,1108
C₃:₆(D₅xC₄oD₄) = D₂₀:₁₆D₆	φ: D₅xC₄oD₄/Q₈:₂D₅ → C₂ ⊆ Aut C₃	120	8-	C3:6(D5xC4oD4)	480,1110
C₃:₇(D₅xC₄oD₄) = C₄oD₄xD₁₅	φ: D₅xC₄oD₄/C₅xC₄oD₄ → C₂ ⊆ Aut C₃	120	4	C3:7(D5xC4oD4)	480,1175

׿

x

:

Z

F

o

wr

Q

<