Extensions 1→N→G→Q→1 with N=C₅ and Q=S₃xD₈

Direct product G=NxQ with N=C₅ and Q=S₃xD₈

		d	ρ	Label	ID
C₅xS₃xD₈		120	4	C5xS3xD8	480,789

Semidirect products G=N:Q with N=C₅ and Q=S₃xD₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(S₃xD₈) = S₃xD₄₀	φ: S₃xD₈/S₃xC₈ → C₂ ⊆ Aut C₅	120	4+	C5:1(S3xD8)	480,328
C₅:₂(S₃xD₈) = C₄₀:₅D₆	φ: S₃xD₈/D₂₄ → C₂ ⊆ Aut C₅	120	4	C5:2(S3xD8)	480,332
C₅:₃(S₃xD₈) = D₁₅:D₈	φ: S₃xD₈/D₄:S₃ → C₂ ⊆ Aut C₅	120	8+	C5:3(S3xD8)	480,557
C₅:₄(S₃xD₈) = D₈xD₁₅	φ: S₃xD₈/C₃xD₈ → C₂ ⊆ Aut C₅	120	4+	C5:4(S3xD8)	480,875
C₅:₅(S₃xD₈) = S₃xD₄:D₅	φ: S₃xD₈/S₃xD₄ → C₂ ⊆ Aut C₅	120	8+	C5:5(S3xD8)	480,555

׿

x

:

Z

F

o

wr

Q

<