Extensions 1→N→G→Q→1 with N=C₅ and Q=S₃xC₄oD₄

Direct product G=NxQ with N=C₅ and Q=S₃xC₄oD₄

		d	ρ	Label	ID
C₅xS₃xC₄oD₄		120	4	C5xS3xC4oD4	480,1160

Semidirect products G=N:Q with N=C₅ and Q=S₃xC₄oD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(S₃xC₄oD₄) = S₃xC₄oD₂₀	φ: S₃xC₄oD₄/S₃xC₂xC₄ → C₂ ⊆ Aut C₅	120	4	C5:1(S3xC4oD4)	480,1091
C₅:₂(S₃xC₄oD₄) = D₂₀:₂₄D₆	φ: S₃xC₄oD₄/C₄oD₁₂ → C₂ ⊆ Aut C₅	120	4	C5:2(S3xC4oD4)	480,1092
C₅:₃(S₃xC₄oD₄) = S₃xD₄:₂D₅	φ: S₃xC₄oD₄/S₃xD₄ → C₂ ⊆ Aut C₅	120	8-	C5:3(S3xC4oD4)	480,1099
C₅:₄(S₃xC₄oD₄) = D₃₀.C₂³	φ: S₃xC₄oD₄/D₄:₂S₃ → C₂ ⊆ Aut C₅	120	8+	C5:4(S3xC4oD4)	480,1100
C₅:₅(S₃xC₄oD₄) = S₃xQ₈:₂D₅	φ: S₃xC₄oD₄/S₃xQ₈ → C₂ ⊆ Aut C₅	120	8+	C5:5(S3xC4oD4)	480,1109
C₅:₆(S₃xC₄oD₄) = D₂₀:₁₆D₆	φ: S₃xC₄oD₄/Q₈:₃S₃ → C₂ ⊆ Aut C₅	120	8-	C5:6(S3xC4oD4)	480,1110
C₅:₇(S₃xC₄oD₄) = C₄oD₄xD₁₅	φ: S₃xC₄oD₄/C₃xC₄oD₄ → C₂ ⊆ Aut C₅	120	4	C5:7(S3xC4oD4)	480,1175

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