Extensions 1→N→G→Q→1 with N=C₆₀ and Q=C₂³

Direct product G=NxQ with N=C₆₀ and Q=C₂³

		d	ρ	Label	ID
C₂³xC₆₀		480		C2^3xC60	480,1180

Semidirect products G=N:Q with N=C₆₀ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₀:C₂³ = S₃xD₄xD₅	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	60	8+	C60:C2^3	480,1097
C₆₀:₂C₂³ = C₂xD₄xD₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120		C60:2C2^3	480,1169
C₆₀:₃C₂³ = C₂xS₃xD₂₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120		C60:3C2^3	480,1088
C₆₀:₄C₂³ = C₂xD₅xD₁₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120		C60:4C2^3	480,1087
C₆₀:₅C₂³ = C₂xC₂₀:D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120		C60:5C2^3	480,1089
C₆₀:₆C₂³ = S₃xC₂xC₄xD₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120		C60:6C2^3	480,1086
C₆₀:₇C₂³ = C₆xD₄xD₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120		C60:7C2^3	480,1139
C₆₀:₈C₂³ = S₃xD₄xC₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120		C60:8C2^3	480,1154
C₆₀:₉C₂³ = C₂²xD₆₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60:9C2^3	480,1167
C₆₀:₁₀C₂³ = C₂²xC₄xD₁₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60:10C2^3	480,1166
C₆₀:₁₁C₂³ = C₂xC₆xD₂₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60:11C2^3	480,1137
C₆₀:₁₂C₂³ = C₂xC₁₀xD₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60:12C2^3	480,1152
C₆₀:₁₃C₂³ = D₅xC₂²xC₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60:13C2^3	480,1136
C₆₀:₁₄C₂³ = S₃xC₂²xC₂₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60:14C2^3	480,1151
C₆₀:₁₅C₂³ = D₄xC₂xC₃₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60:15C2^3	480,1181

Non-split extensions G=N.Q with N=C₆₀ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₀.₁C₂³ = D₅xD₄:S₃	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.1C2^3	480,553
C₆₀.₂C₂³ = Dic₁₀:₃D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.2C2^3	480,554
C₆₀.₃C₂³ = S₃xD₄:D₅	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.3C2^3	480,555
C₆₀.₄C₂³ = D₆₀.C₂²	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.4C2^3	480,556
C₆₀.₅C₂³ = D₁₅:D₈	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.5C2^3	480,557
C₆₀.₆C₂³ = D₃₀.₈D₄	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8-	C60.6C2^3	480,558
C₆₀.₇C₂³ = D₅xD₄.S₃	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8-	C60.7C2^3	480,559
C₆₀.₈C₂³ = C₆₀.₈C₂³	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.8C2^3	480,560
C₆₀.₉C₂³ = S₃xD₄.D₅	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8-	C60.9C2^3	480,561
C₆₀.₁₀C₂³ = C₆₀.₁₀C₂³	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.10C2^3	480,562
C₆₀.₁₁C₂³ = Dic₁₀:D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.11C2^3	480,563
C₆₀.₁₂C₂³ = D₃₀.₉D₄	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.12C2^3	480,564
C₆₀.₁₃C₂³ = D₁₂:₁₀D₁₀	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8-	C60.13C2^3	480,565
C₆₀.₁₄C₂³ = D₁₂.₂₄D₁₀	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.14C2^3	480,566
C₆₀.₁₅C₂³ = D₂₀.₉D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.15C2^3	480,567
C₆₀.₁₆C₂³ = C₆₀.₁₆C₂³	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8+	C60.16C2^3	480,568
C₆₀.₁₇C₂³ = D₂₀.₂₄D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.17C2^3	480,569
C₆₀.₁₈C₂³ = D₂₀:₁₀D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8-	C60.18C2^3	480,570
C₆₀.₁₉C₂³ = C₆₀.₁₉C₂³	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8+	C60.19C2^3	480,571
C₆₀.₂₀C₂³ = D₁₂.₉D₁₀	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.20C2^3	480,572
C₆₀.₂₁C₂³ = D₂₀.₁₀D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.21C2^3	480,573
C₆₀.₂₂C₂³ = Dic₆:D₁₀	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.22C2^3	480,574
C₆₀.₂₃C₂³ = D₃₀.₁₁D₄	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.23C2^3	480,575
C₆₀.₂₄C₂³ = D₁₂:₅D₁₀	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.24C2^3	480,576
C₆₀.₂₅C₂³ = D₅xQ₈:₂S₃	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.25C2^3	480,577
C₆₀.₂₆C₂³ = D₂₀:D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.26C2^3	480,578
C₆₀.₂₇C₂³ = S₃xQ₈:D₅	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.27C2^3	480,579
C₆₀.₂₈C₂³ = D₁₂:D₁₀	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.28C2^3	480,580
C₆₀.₂₉C₂³ = D₁₅:SD₁₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8-	C60.29C2^3	480,581
C₆₀.₃₀C₂³ = D₆₀:C₂²	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.30C2^3	480,582
C₆₀.₃₁C₂³ = D₅xC₃:Q₁₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.31C2^3	480,583
C₆₀.₃₂C₂³ = D₂₀.₁₃D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.32C2^3	480,584
C₆₀.₃₃C₂³ = S₃xC₅:Q₁₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.33C2^3	480,585
C₆₀.₃₄C₂³ = Dic₁₀.₂₆D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.34C2^3	480,586
C₆₀.₃₅C₂³ = D₁₅:Q₁₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.35C2^3	480,587
C₆₀.₃₆C₂³ = C₆₀.C₂³	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8+	C60.36C2^3	480,588
C₆₀.₃₇C₂³ = D₁₂.₂₇D₁₀	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.37C2^3	480,589
C₆₀.₃₈C₂³ = D₂₀.₁₄D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.38C2^3	480,590
C₆₀.₃₉C₂³ = C₆₀.₃₉C₂³	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8+	C60.39C2^3	480,591
C₆₀.₄₀C₂³ = D₂₀.D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8+	C60.40C2^3	480,592
C₆₀.₄₁C₂³ = D₂₀.₂₇D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.41C2^3	480,593
C₆₀.₄₂C₂³ = D₂₀.₂₈D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.42C2^3	480,594
C₆₀.₄₃C₂³ = Dic₁₀.₂₇D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8+	C60.43C2^3	480,595
C₆₀.₄₄C₂³ = C₆₀.₄₄C₂³	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8+	C60.44C2^3	480,596
C₆₀.₄₅C₂³ = D₂₀.₁₆D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8+	C60.45C2^3	480,597
C₆₀.₄₆C₂³ = D₂₀.₁₇D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.46C2^3	480,598
C₆₀.₄₇C₂³ = D₁₂.D₁₀	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8+	C60.47C2^3	480,599
C₆₀.₄₈C₂³ = D₃₀.₄₄D₄	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.48C2^3	480,600
C₆₀.₄₉C₂³ = C₁₅:2_-¹⁺⁴	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.49C2^3	480,1096
C₆₀.₅₀C₂³ = D₅xD₄:₂S₃	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8-	C60.50C2^3	480,1098
C₆₀.₅₁C₂³ = S₃xD₄:₂D₅	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8-	C60.51C2^3	480,1099
C₆₀.₅₂C₂³ = D₃₀.C₂³	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.52C2^3	480,1100
C₆₀.₅₃C₂³ = D₂₀:₁₃D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8-	C60.53C2^3	480,1101
C₆₀.₅₄C₂³ = D₂₀:₁₄D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.54C2^3	480,1102
C₆₀.₅₅C₂³ = D₁₂:₁₄D₁₀	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.55C2^3	480,1103
C₆₀.₅₆C₂³ = D₂₀.₂₉D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.56C2^3	480,1104
C₆₀.₅₇C₂³ = C₃₀.₃₃C₂⁴	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8+	C60.57C2^3	480,1105
C₆₀.₅₈C₂³ = D₁₂.₂₉D₁₀	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	240	8-	C60.58C2^3	480,1106
C₆₀.₅₉C₂³ = S₃xQ₈xD₅	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8-	C60.59C2^3	480,1107
C₆₀.₆₀C₂³ = D₅xQ₈:₃S₃	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.60C2^3	480,1108
C₆₀.₆₁C₂³ = S₃xQ₈:₂D₅	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.61C2^3	480,1109
C₆₀.₆₂C₂³ = D₂₀:₁₆D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8-	C60.62C2^3	480,1110
C₆₀.₆₃C₂³ = D₂₀:₁₇D₆	φ: C₂³/C₁ → C₂³ ⊆ Aut C₆₀	120	8+	C60.63C2^3	480,1111
C₆₀.₆₄C₂³ = D₈xD₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4+	C60.64C2^3	480,875
C₆₀.₆₅C₂³ = D₈:D₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.65C2^3	480,876
C₆₀.₆₆C₂³ = D₈:₃D₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4-	C60.66C2^3	480,877
C₆₀.₆₇C₂³ = SD₁₆xD₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.67C2^3	480,878
C₆₀.₆₈C₂³ = Q₈:₃D₃₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4+	C60.68C2^3	480,879
C₆₀.₆₉C₂³ = SD₁₆:D₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4-	C60.69C2^3	480,880
C₆₀.₇₀C₂³ = D₄.₅D₃₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.70C2^3	480,881
C₆₀.₇₁C₂³ = Q₁₆xD₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4-	C60.71C2^3	480,882
C₆₀.₇₂C₂³ = Q₁₆:D₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.72C2^3	480,883
C₆₀.₇₃C₂³ = D₁₂₀:₈C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4+	C60.73C2^3	480,884
C₆₀.₇₄C₂³ = C₂xD₄:D₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.74C2^3	480,896
C₆₀.₇₅C₂³ = D₄.D₃₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.75C2^3	480,897
C₆₀.₇₆C₂³ = C₂xD₄.D₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.76C2^3	480,898
C₆₀.₇₇C₂³ = C₂xQ₈:₂D₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.77C2^3	480,906
C₆₀.₇₈C₂³ = Q₈.₁₁D₃₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.78C2^3	480,907
C₆₀.₇₉C₂³ = C₂xC₁₅:₇Q₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	480		C60.79C2^3	480,908
C₆₀.₈₀C₂³ = D₄:D₃₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4+	C60.80C2^3	480,914
C₆₀.₈₁C₂³ = D₄.₈D₃₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.81C2^3	480,915
C₆₀.₈₂C₂³ = D₄.₉D₃₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4-	C60.82C2^3	480,916
C₆₀.₈₃C₂³ = C₂xD₄:₂D₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.83C2^3	480,1170
C₆₀.₈₄C₂³ = D₄:₆D₃₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.84C2^3	480,1171
C₆₀.₈₅C₂³ = C₂xQ₈xD₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.85C2^3	480,1172
C₆₀.₈₆C₂³ = C₂xQ₈:₃D₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.86C2^3	480,1173
C₆₀.₈₇C₂³ = Q₈.₁₅D₃₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.87C2^3	480,1174
C₆₀.₈₈C₂³ = C₄oD₄xD₁₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.88C2^3	480,1175
C₆₀.₈₉C₂³ = D₄:₈D₃₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4+	C60.89C2^3	480,1176
C₆₀.₉₀C₂³ = D₄.₁₀D₃₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4-	C60.90C2^3	480,1177
C₆₀.₉₁C₂³ = S₃xC₄₀:C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.91C2^3	480,327
C₆₀.₉₂C₂³ = S₃xD₄₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4+	C60.92C2^3	480,328
C₆₀.₉₃C₂³ = C₄₀:₁D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4+	C60.93C2^3	480,329
C₆₀.₉₄C₂³ = D₄₀:S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.94C2^3	480,330
C₆₀.₉₅C₂³ = S₃xDic₂₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4-	C60.95C2^3	480,338
C₆₀.₉₆C₂³ = Dic₂₀:S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.96C2^3	480,339
C₆₀.₉₇C₂³ = D₆.₁D₂₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.97C2^3	480,348
C₆₀.₉₈C₂³ = D₄₀:₇S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4-	C60.98C2^3	480,349
C₆₀.₉₉C₂³ = C₄₀.₂D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4-	C60.99C2^3	480,350
C₆₀.₁₀₀C₂³ = D₁₂₀:₅C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4+	C60.100C2^3	480,351
C₆₀.₁₀₁C₂³ = C₂xC₃:D₄₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.101C2^3	480,376
C₆₀.₁₀₂C₂³ = D₂₀:₁₉D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4+	C60.102C2^3	480,377
C₆₀.₁₀₃C₂³ = C₂xC₆.D₂₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.103C2^3	480,386
C₆₀.₁₀₄C₂³ = D₂₀.₃₁D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.104C2^3	480,387
C₆₀.₁₀₅C₂³ = D₆₀:₃₀C₂²	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.105C2^3	480,388
C₆₀.₁₀₆C₂³ = C₆₀.₆₃D₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4-	C60.106C2^3	480,389
C₆₀.₁₀₇C₂³ = C₂xC₁₅:SD₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.107C2^3	480,390
C₆₀.₁₀₈C₂³ = C₁₂.D₂₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.108C2^3	480,391
C₆₀.₁₀₉C₂³ = C₂xC₃:Dic₂₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	480		C60.109C2^3	480,395
C₆₀.₁₁₀C₂³ = C₂xD₂₀:₅S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.110C2^3	480,1074
C₆₀.₁₁₁C₂³ = D₂₀.₃₉D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4-	C60.111C2^3	480,1077
C₆₀.₁₁₂C₂³ = C₂xS₃xDic₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.112C2^3	480,1078
C₆₀.₁₁₃C₂³ = C₂xD₆₀:C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.113C2^3	480,1081
C₆₀.₁₁₄C₂³ = S₃xC₄oD₂₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.114C2^3	480,1091
C₆₀.₁₁₅C₂³ = D₂₀:₂₉D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4+	C60.115C2^3	480,1095
C₆₀.₁₁₆C₂³ = D₅xC₂₄:C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.116C2^3	480,323
C₆₀.₁₁₇C₂³ = D₅xD₂₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4+	C60.117C2^3	480,324
C₆₀.₁₁₈C₂³ = C₂₄:D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4+	C60.118C2^3	480,325
C₆₀.₁₁₉C₂³ = D₂₄:D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.119C2^3	480,326
C₆₀.₁₂₀C₂³ = D₅xDic₁₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4-	C60.120C2^3	480,335
C₆₀.₁₂₁C₂³ = Dic₆₀:C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4-	C60.121C2^3	480,336
C₆₀.₁₂₂C₂³ = C₂₄.₂D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.122C2^3	480,337
C₆₀.₁₂₃C₂³ = C₄₀.₃₁D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.123C2^3	480,345
C₆₀.₁₂₄C₂³ = D₂₄:₇D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4-	C60.124C2^3	480,346
C₆₀.₁₂₅C₂³ = D₁₂₀:C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4+	C60.125C2^3	480,347
C₆₀.₁₂₆C₂³ = C₂xC₅:D₂₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.126C2^3	480,378
C₆₀.₁₂₇C₂³ = C₂₀.₆₀D₁₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.127C2^3	480,379
C₆₀.₁₂₈C₂³ = D₆₀:₃₆C₂²	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.128C2^3	480,380
C₆₀.₁₂₉C₂³ = C₆₀.₃₈D₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4+	C60.129C2^3	480,381
C₆₀.₁₃₀C₂³ = C₂xD₁₂.D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.130C2^3	480,392
C₆₀.₁₃₁C₂³ = C₂xDic₆:D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.131C2^3	480,393
C₆₀.₁₃₂C₂³ = C₂xC₅:Dic₁₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	480		C60.132C2^3	480,396
C₆₀.₁₃₃C₂³ = C₂₀.D₁₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.133C2^3	480,397
C₆₀.₁₃₄C₂³ = D₁₂.₃₃D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4-	C60.134C2^3	480,398
C₆₀.₁₃₅C₂³ = C₂xD₅xDic₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.135C2^3	480,1073
C₆₀.₁₃₆C₂³ = C₂xD₁₂:₅D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.136C2^3	480,1084
C₆₀.₁₃₇C₂³ = C₂xC₁₂.₂₈D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.137C2^3	480,1085
C₆₀.₁₃₈C₂³ = D₅xC₄oD₁₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.138C2^3	480,1090
C₆₀.₁₃₉C₂³ = C₄₀:₁₄D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.139C2^3	480,331
C₆₀.₁₄₀C₂³ = C₄₀:₅D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.140C2^3	480,332
C₆₀.₁₄₁C₂³ = D₂₄:₆D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.141C2^3	480,333
C₆₀.₁₄₂C₂³ = C₄₀:₈D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.142C2^3	480,334
C₆₀.₁₄₃C₂³ = Dic₁₀.D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.143C2^3	480,340
C₆₀.₁₄₄C₂³ = Dic₆.D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.144C2^3	480,352
C₆₀.₁₄₅C₂³ = D₄₀:₅S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.145C2^3	480,353
C₆₀.₁₄₆C₂³ = D₃₀.₃D₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.146C2^3	480,354
C₆₀.₁₄₇C₂³ = D₂₄:₅D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.147C2^3	480,355
C₆₀.₁₄₈C₂³ = D₃₀.₄D₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.148C2^3	480,356
C₆₀.₁₄₉C₂³ = C₂xC₁₅:D₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.149C2^3	480,372
C₆₀.₁₅₀C₂³ = D₂₀.₃₄D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.150C2^3	480,373
C₆₀.₁₅₁C₂³ = C₆₀.₃₆D₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.151C2^3	480,374
C₆₀.₁₅₂C₂³ = D₂₀:₂₁D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.152C2^3	480,375
C₆₀.₁₅₃C₂³ = C₂xC₃₀.D₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.153C2^3	480,382
C₆₀.₁₅₄C₂³ = D₂₀.₃₇D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.154C2^3	480,383
C₆₀.₁₅₅C₂³ = C₂xC₂₀.D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.155C2^3	480,384
C₆₀.₁₅₆C₂³ = D₁₂.₃₇D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.156C2^3	480,385
C₆₀.₁₅₇C₂³ = C₂xC₁₅:Q₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	480		C60.157C2^3	480,394
C₆₀.₁₅₈C₂³ = C₂xD₂₀:S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.158C2^3	480,1075
C₆₀.₁₅₉C₂³ = D₂₀.₃₈D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.159C2^3	480,1076
C₆₀.₁₆₀C₂³ = C₂xD₁₂:D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.160C2^3	480,1079
C₆₀.₁₆₁C₂³ = C₃₀.C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.161C2^3	480,1080
C₆₀.₁₆₂C₂³ = C₂xD₁₅:Q₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.162C2^3	480,1082
C₆₀.₁₆₃C₂³ = D₂₀:₂₄D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.163C2^3	480,1092
C₆₀.₁₆₄C₂³ = D₂₀:₂₅D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.164C2^3	480,1093
C₆₀.₁₆₅C₂³ = D₂₀:₂₆D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.165C2^3	480,1094
C₆₀.₁₆₆C₂³ = S₃xC₈xD₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.166C2^3	480,319
C₆₀.₁₆₇C₂³ = D₅xC₈:S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.167C2^3	480,320
C₆₀.₁₆₈C₂³ = S₃xC₈:D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.168C2^3	480,321
C₆₀.₁₆₉C₂³ = C₄₀:D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.169C2^3	480,322
C₆₀.₁₇₀C₂³ = C₄₀.₅₄D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.170C2^3	480,341
C₆₀.₁₇₁C₂³ = C₄₀.₃₄D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.171C2^3	480,342
C₆₀.₁₇₂C₂³ = C₄₀.₅₅D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.172C2^3	480,343
C₆₀.₁₇₃C₂³ = C₄₀.₃₅D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.173C2^3	480,344
C₆₀.₁₇₄C₂³ = C₂xD₅xC₃:C₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.174C2^3	480,357
C₆₀.₁₇₅C₂³ = D₅xC₄.Dic₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.175C2^3	480,358
C₆₀.₁₇₆C₂³ = D₂₀.₃Dic₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.176C2^3	480,359
C₆₀.₁₇₇C₂³ = D₂₀.₂Dic₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.177C2^3	480,360
C₆₀.₁₇₈C₂³ = C₂xS₃xC₅:₂C₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.178C2^3	480,361
C₆₀.₁₇₉C₂³ = D₁₂.₂Dic₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.179C2^3	480,362
C₆₀.₁₈₀C₂³ = S₃xC₄.Dic₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.180C2^3	480,363
C₆₀.₁₈₁C₂³ = D₁₂.Dic₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.181C2^3	480,364
C₆₀.₁₈₂C₂³ = C₂xD₁₅:₂C₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.182C2^3	480,365
C₆₀.₁₈₃C₂³ = D₆₀.₅C₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.183C2^3	480,366
C₆₀.₁₈₄C₂³ = D₆₀.₄C₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.184C2^3	480,367
C₆₀.₁₈₅C₂³ = D₁₅:₄M₄(2)	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.185C2^3	480,368
C₆₀.₁₈₆C₂³ = C₂xC₂₀.₃₂D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.186C2^3	480,369
C₆₀.₁₈₇C₂³ = C₂xD₆.Dic₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.187C2^3	480,370
C₆₀.₁₈₈C₂³ = C₂xD₃₀.₅C₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.188C2^3	480,371
C₆₀.₁₈₉C₂³ = C₂xD₆.D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.189C2^3	480,1083
C₆₀.₁₉₀C₂³ = C₃xD₅xD₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.190C2^3	480,703
C₆₀.₁₉₁C₂³ = C₃xD₈:D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.191C2^3	480,704
C₆₀.₁₉₂C₂³ = C₃xD₈:₃D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.192C2^3	480,705
C₆₀.₁₉₃C₂³ = C₃xD₅xSD₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.193C2^3	480,706
C₆₀.₁₉₄C₂³ = C₃xD₄₀:C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.194C2^3	480,707
C₆₀.₁₉₅C₂³ = C₃xSD₁₆:D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.195C2^3	480,708
C₆₀.₁₉₆C₂³ = C₃xSD₁₆:₃D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.196C2^3	480,709
C₆₀.₁₉₇C₂³ = C₃xD₅xQ₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.197C2^3	480,710
C₆₀.₁₉₈C₂³ = C₃xQ₁₆:D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.198C2^3	480,711
C₆₀.₁₉₉C₂³ = C₃xQ₈.D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.199C2^3	480,712
C₆₀.₂₀₀C₂³ = C₆xD₄:D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.200C2^3	480,724
C₆₀.₂₀₁C₂³ = C₃xD₄.D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.201C2^3	480,725
C₆₀.₂₀₂C₂³ = C₆xD₄.D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.202C2^3	480,726
C₆₀.₂₀₃C₂³ = C₆xQ₈:D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.203C2^3	480,734
C₆₀.₂₀₄C₂³ = C₃xC₂₀.C₂³	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.204C2^3	480,735
C₆₀.₂₀₅C₂³ = C₆xC₅:Q₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	480		C60.205C2^3	480,736
C₆₀.₂₀₆C₂³ = C₃xD₄:D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.206C2^3	480,742
C₆₀.₂₀₇C₂³ = C₃xD₄.₈D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.207C2^3	480,743
C₆₀.₂₀₈C₂³ = C₃xD₄.₉D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.208C2^3	480,744
C₆₀.₂₀₉C₂³ = C₆xD₄:₂D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.209C2^3	480,1140
C₆₀.₂₁₀C₂³ = C₃xD₄:₆D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.210C2^3	480,1141
C₆₀.₂₁₁C₂³ = C₆xQ₈xD₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.211C2^3	480,1142
C₆₀.₂₁₂C₂³ = C₆xQ₈:₂D₅	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.212C2^3	480,1143
C₆₀.₂₁₃C₂³ = C₃xQ₈.₁₀D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.213C2^3	480,1144
C₆₀.₂₁₄C₂³ = C₃xD₅xC₄oD₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.214C2^3	480,1145
C₆₀.₂₁₅C₂³ = C₃xD₄:₈D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.215C2^3	480,1146
C₆₀.₂₁₆C₂³ = C₃xD₄.₁₀D₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.216C2^3	480,1147
C₆₀.₂₁₇C₂³ = C₅xS₃xD₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.217C2^3	480,789
C₆₀.₂₁₈C₂³ = C₅xD₈:S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.218C2^3	480,790
C₆₀.₂₁₉C₂³ = C₅xD₈:₃S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.219C2^3	480,791
C₆₀.₂₂₀C₂³ = C₅xS₃xSD₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.220C2^3	480,792
C₆₀.₂₂₁C₂³ = C₅xQ₈:₃D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.221C2^3	480,793
C₆₀.₂₂₂C₂³ = C₅xD₄.D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.222C2^3	480,794
C₆₀.₂₂₃C₂³ = C₅xQ₈.₇D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.223C2^3	480,795
C₆₀.₂₂₄C₂³ = C₅xS₃xQ₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.224C2^3	480,796
C₆₀.₂₂₅C₂³ = C₅xQ₁₆:S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.225C2^3	480,797
C₆₀.₂₂₆C₂³ = C₅xD₂₄:C₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.226C2^3	480,798
C₆₀.₂₂₇C₂³ = C₁₀xD₄:S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.227C2^3	480,810
C₆₀.₂₂₈C₂³ = C₅xD₁₂:₆C₂²	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.228C2^3	480,811
C₆₀.₂₂₉C₂³ = C₁₀xD₄.S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.229C2^3	480,812
C₆₀.₂₃₀C₂³ = C₁₀xQ₈:₂S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.230C2^3	480,820
C₆₀.₂₃₁C₂³ = C₅xQ₈.₁₁D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.231C2^3	480,821
C₆₀.₂₃₂C₂³ = C₁₀xC₃:Q₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	480		C60.232C2^3	480,822
C₆₀.₂₃₃C₂³ = C₅xD₄:D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.233C2^3	480,828
C₆₀.₂₃₄C₂³ = C₅xQ₈.₁₃D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.234C2^3	480,829
C₆₀.₂₃₅C₂³ = C₅xQ₈.₁₄D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.235C2^3	480,830
C₆₀.₂₃₆C₂³ = C₁₀xD₄:₂S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.236C2^3	480,1155
C₆₀.₂₃₇C₂³ = C₅xD₄:₆D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.237C2^3	480,1156
C₆₀.₂₃₈C₂³ = S₃xQ₈xC₁₀	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.238C2^3	480,1157
C₆₀.₂₃₉C₂³ = C₁₀xQ₈:₃S₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240		C60.239C2^3	480,1158
C₆₀.₂₄₀C₂³ = C₅xQ₈.₁₅D₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.240C2^3	480,1159
C₆₀.₂₄₁C₂³ = C₅xS₃xC₄oD₄	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.241C2^3	480,1160
C₆₀.₂₄₂C₂³ = C₅xD₄oD₁₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	120	4	C60.242C2^3	480,1161
C₆₀.₂₄₃C₂³ = C₅xQ₈oD₁₂	φ: C₂³/C₂ → C₂² ⊆ Aut C₆₀	240	4	C60.243C2^3	480,1162
C₆₀.₂₄₄C₂³ = C₂xC₂₄:D₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.244C2^3	480,867
C₆₀.₂₄₅C₂³ = C₂xD₁₂₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.245C2^3	480,868
C₆₀.₂₄₆C₂³ = C₄₀.₆₉D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	2	C60.246C2^3	480,869
C₆₀.₂₄₇C₂³ = C₂xDic₆₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	480		C60.247C2^3	480,870
C₆₀.₂₄₈C₂³ = C₈:D₃₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	120	4+	C60.248C2^3	480,873
C₆₀.₂₄₉C₂³ = C₈.D₃₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	4-	C60.249C2^3	480,874
C₆₀.₂₅₀C₂³ = C₂²xDic₃₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	480		C60.250C2^3	480,1165
C₆₀.₂₅₁C₂³ = C₂xD₆₀:₁₁C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.251C2^3	480,1168
C₆₀.₂₅₂C₂³ = C₂xC₈xD₁₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.252C2^3	480,864
C₆₀.₂₅₃C₂³ = C₂xC₄₀:S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.253C2^3	480,865
C₆₀.₂₅₄C₂³ = D₆₀.₆C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	2	C60.254C2^3	480,866
C₆₀.₂₅₅C₂³ = M₄(2)xD₁₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	120	4	C60.255C2^3	480,871
C₆₀.₂₅₆C₂³ = D₆₀.₃C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	4	C60.256C2^3	480,872
C₆₀.₂₅₇C₂³ = C₂²xC₁₅:₃C₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	480		C60.257C2^3	480,885
C₆₀.₂₅₈C₂³ = C₂xC₆₀.₇C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.258C2^3	480,886
C₆₀.₂₅₉C₂³ = D₄.Dic₁₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	4	C60.259C2^3	480,913
C₆₀.₂₆₀C₂³ = C₆xC₄₀:C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.260C2^3	480,695
C₆₀.₂₆₁C₂³ = C₆xD₄₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.261C2^3	480,696
C₆₀.₂₆₂C₂³ = C₃xD₄₀:₇C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	2	C60.262C2^3	480,697
C₆₀.₂₆₃C₂³ = C₆xDic₂₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	480		C60.263C2^3	480,698
C₆₀.₂₆₄C₂³ = C₃xC₈:D₁₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	120	4	C60.264C2^3	480,701
C₆₀.₂₆₅C₂³ = C₃xC₈.D₁₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	4	C60.265C2^3	480,702
C₆₀.₂₆₆C₂³ = C₂xC₆xDic₁₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	480		C60.266C2^3	480,1135
C₆₀.₂₆₇C₂³ = C₁₀xC₂₄:C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.267C2^3	480,781
C₆₀.₂₆₈C₂³ = C₁₀xD₂₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.268C2^3	480,782
C₆₀.₂₆₉C₂³ = C₅xC₄oD₂₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	2	C60.269C2^3	480,783
C₆₀.₂₇₀C₂³ = C₁₀xDic₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	480		C60.270C2^3	480,784
C₆₀.₂₇₁C₂³ = C₅xC₈:D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	120	4	C60.271C2^3	480,787
C₆₀.₂₇₂C₂³ = C₅xC₈.D₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	4	C60.272C2^3	480,788
C₆₀.₂₇₃C₂³ = C₂xC₁₀xDic₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	480		C60.273C2^3	480,1150
C₆₀.₂₇₄C₂³ = D₅xC₂xC₂₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.274C2^3	480,692
C₆₀.₂₇₅C₂³ = C₆xC₈:D₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.275C2^3	480,693
C₆₀.₂₇₆C₂³ = C₃xD₂₀.₃C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	2	C60.276C2^3	480,694
C₆₀.₂₇₇C₂³ = C₃xD₅xM₄(2)	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	120	4	C60.277C2^3	480,699
C₆₀.₂₇₈C₂³ = C₃xD₂₀.₂C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	4	C60.278C2^3	480,700
C₆₀.₂₇₉C₂³ = C₂xC₆xC₅:₂C₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	480		C60.279C2^3	480,713
C₆₀.₂₈₀C₂³ = C₆xC₄.Dic₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.280C2^3	480,714
C₆₀.₂₈₁C₂³ = C₃xD₄.Dic₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	4	C60.281C2^3	480,741
C₆₀.₂₈₂C₂³ = C₆xC₄oD₂₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.282C2^3	480,1138
C₆₀.₂₈₃C₂³ = S₃xC₂xC₄₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.283C2^3	480,778
C₆₀.₂₈₄C₂³ = C₁₀xC₈:S₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.284C2^3	480,779
C₆₀.₂₈₅C₂³ = C₅xC₈oD₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	2	C60.285C2^3	480,780
C₆₀.₂₈₆C₂³ = C₅xS₃xM₄(2)	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	120	4	C60.286C2^3	480,785
C₆₀.₂₈₇C₂³ = C₅xD₁₂.C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	4	C60.287C2^3	480,786
C₆₀.₂₈₈C₂³ = C₂xC₁₀xC₃:C₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	480		C60.288C2^3	480,799
C₆₀.₂₈₉C₂³ = C₁₀xC₄.Dic₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.289C2^3	480,800
C₆₀.₂₉₀C₂³ = C₅xD₄.Dic₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	4	C60.290C2^3	480,827
C₆₀.₂₉₁C₂³ = C₁₀xC₄oD₁₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.291C2^3	480,1153
C₆₀.₂₉₂C₂³ = D₈xC₃₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.292C2^3	480,937
C₆₀.₂₉₃C₂³ = SD₁₆xC₃₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240		C60.293C2^3	480,938
C₆₀.₂₉₄C₂³ = Q₁₆xC₃₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	480		C60.294C2^3	480,939
C₆₀.₂₉₅C₂³ = C₁₅xC₄oD₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	2	C60.295C2^3	480,940
C₆₀.₂₉₆C₂³ = C₁₅xC₈:C₂²	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	120	4	C60.296C2^3	480,941
C₆₀.₂₉₇C₂³ = C₁₅xC₈.C₂²	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	4	C60.297C2^3	480,942
C₆₀.₂₉₈C₂³ = Q₈xC₂xC₃₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	480		C60.298C2^3	480,1182
C₆₀.₂₉₉C₂³ = C₁₅x2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	120	4	C60.299C2^3	480,1184
C₆₀.₃₀₀C₂³ = C₁₅x2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Aut C₆₀	240	4	C60.300C2^3	480,1185
C₆₀.₃₀₁C₂³ = M₄(2)xC₃₀	central extension (φ=1)	240		C60.301C2^3	480,935
C₆₀.₃₀₂C₂³ = C₁₅xC₈oD₄	central extension (φ=1)	240	2	C60.302C2^3	480,936
C₆₀.₃₀₃C₂³ = C₄oD₄xC₃₀	central extension (φ=1)	240		C60.303C2^3	480,1183

Extensions 1→N→G→Q→1 with N=C60 and Q=C23

Extensions 1→N→G→Q→1 with N=C₆₀ and Q=C₂³