Extensions 1→N→G→Q→1 with N=S₃xC₁₀ and Q=C₂³

Direct product G=NxQ with N=S₃xC₁₀ and Q=C₂³

		d	ρ	Label	ID
S₃xC₂³xC₁₀		240		S3xC2^3xC10	480,1211

Semidirect products G=N:Q with N=S₃xC₁₀ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₁₀):₁C₂³ = C₂xD₅xD₁₂	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120		(S3xC10):1C2^3	480,1087
(S₃xC₁₀):₂C₂³ = C₂xC₂₀:D₆	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120		(S3xC10):2C2^3	480,1089
(S₃xC₁₀):₃C₂³ = S₃xD₄xD₅	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	60	8+	(S3xC10):3C2^3	480,1097
(S₃xC₁₀):₄C₂³ = C₂xD₅xC₃:D₄	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120		(S3xC10):4C2^3	480,1122
(S₃xC₁₀):₅C₂³ = C₂xD₁₀:D₆	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120		(S3xC10):5C2^3	480,1124
(S₃xC₁₀):₆C₂³ = C₂²xC₁₅:D₄	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240		(S3xC10):6C2^3	480,1118
(S₃xC₁₀):₇C₂³ = C₂²xC₅:D₁₂	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240		(S3xC10):7C2^3	480,1120
(S₃xC₁₀):₈C₂³ = C₂xS₃xC₅:D₄	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	120		(S3xC10):8C2^3	480,1123
(S₃xC₁₀):₉C₂³ = S₃xC₂³xD₅	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	120		(S3xC10):9C2^3	480,1207
(S₃xC₁₀):₁₀C₂³ = C₂xC₁₀xD₁₂	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240		(S3xC10):10C2^3	480,1152
(S₃xC₁₀):₁₁C₂³ = S₃xD₄xC₁₀	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	120		(S3xC10):11C2^3	480,1154
(S₃xC₁₀):₁₂C₂³ = C₂xC₁₀xC₃:D₄	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240		(S3xC10):12C2^3	480,1164

Non-split extensions G=N.Q with N=S₃xC₁₀ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₁₀).₁C₂³ = D₂₀.₃₉D₆	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	240	4-	(S3xC10).1C2^3	480,1077
(S₃xC₁₀).₂C₂³ = C₂xD₁₂:D₅	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	240		(S3xC10).2C2^3	480,1079
(S₃xC₁₀).₃C₂³ = C₃₀.C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	240	4	(S3xC10).3C2^3	480,1080
(S₃xC₁₀).₄C₂³ = C₂xD₁₂:₅D₅	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	240		(S3xC10).4C2^3	480,1084
(S₃xC₁₀).₅C₂³ = D₅xC₄oD₁₂	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120	4	(S3xC10).5C2^3	480,1090
(S₃xC₁₀).₆C₂³ = D₂₀:₂₄D₆	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120	4	(S3xC10).6C2^3	480,1092
(S₃xC₁₀).₇C₂³ = D₂₀:₂₅D₆	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120	4	(S3xC10).7C2^3	480,1093
(S₃xC₁₀).₈C₂³ = D₂₀:₂₆D₆	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120	4	(S3xC10).8C2^3	480,1094
(S₃xC₁₀).₉C₂³ = D₂₀:₂₉D₆	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120	4+	(S3xC10).9C2^3	480,1095
(S₃xC₁₀).₁₀C₂³ = C₁₅:2_-¹⁺⁴	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	240	8-	(S3xC10).10C2^3	480,1096
(S₃xC₁₀).₁₁C₂³ = D₅xD₄:₂S₃	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120	8-	(S3xC10).11C2^3	480,1098
(S₃xC₁₀).₁₂C₂³ = S₃xD₄:₂D₅	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120	8-	(S3xC10).12C2^3	480,1099
(S₃xC₁₀).₁₃C₂³ = D₃₀.C₂³	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120	8+	(S3xC10).13C2^3	480,1100
(S₃xC₁₀).₁₄C₂³ = D₂₀:₁₃D₆	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120	8-	(S3xC10).14C2^3	480,1101
(S₃xC₁₀).₁₅C₂³ = D₂₀:₁₄D₆	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120	8+	(S3xC10).15C2^3	480,1102
(S₃xC₁₀).₁₆C₂³ = D₁₂:₁₄D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120	8+	(S3xC10).16C2^3	480,1103
(S₃xC₁₀).₁₇C₂³ = D₁₂.₂₉D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	240	8-	(S3xC10).17C2^3	480,1106
(S₃xC₁₀).₁₈C₂³ = D₅xQ₈:₃S₃	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120	8+	(S3xC10).18C2^3	480,1108
(S₃xC₁₀).₁₉C₂³ = D₂₀:₁₆D₆	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120	8-	(S3xC10).19C2^3	480,1110
(S₃xC₁₀).₂₀C₂³ = D₂₀:₁₇D₆	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120	8+	(S3xC10).20C2^3	480,1111
(S₃xC₁₀).₂₁C₂³ = C₂xC₃₀.C₂³	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	240		(S3xC10).21C2^3	480,1114
(S₃xC₁₀).₂₂C₂³ = C₂xDic₃.D₁₀	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	240		(S3xC10).22C2^3	480,1116
(S₃xC₁₀).₂₃C₂³ = C₁₅:2₊¹⁺⁴	φ: C₂³/C₂ → C₂² ⊆ Out S₃xC₁₀	120	4	(S3xC10).23C2^3	480,1125
(S₃xC₁₀).₂₄C₂³ = C₂xD₂₀:₅S₃	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240		(S3xC10).24C2^3	480,1074
(S₃xC₁₀).₂₅C₂³ = C₂xS₃xDic₁₀	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240		(S3xC10).25C2^3	480,1078
(S₃xC₁₀).₂₆C₂³ = C₂xD₆₀:C₂	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240		(S3xC10).26C2^3	480,1081
(S₃xC₁₀).₂₇C₂³ = C₂xD₆.D₁₀	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240		(S3xC10).27C2^3	480,1083
(S₃xC₁₀).₂₈C₂³ = S₃xC₂xC₄xD₅	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	120		(S3xC10).28C2^3	480,1086
(S₃xC₁₀).₂₉C₂³ = C₂xS₃xD₂₀	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	120		(S3xC10).29C2^3	480,1088
(S₃xC₁₀).₃₀C₂³ = S₃xC₄oD₂₀	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	120	4	(S3xC10).30C2^3	480,1091
(S₃xC₁₀).₃₁C₂³ = D₂₀.₂₉D₆	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240	8-	(S3xC10).31C2^3	480,1104
(S₃xC₁₀).₃₂C₂³ = C₃₀.₃₃C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240	8+	(S3xC10).32C2^3	480,1105
(S₃xC₁₀).₃₃C₂³ = S₃xQ₈xD₅	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	120	8-	(S3xC10).33C2^3	480,1107
(S₃xC₁₀).₃₄C₂³ = S₃xQ₈:₂D₅	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	120	8+	(S3xC10).34C2^3	480,1109
(S₃xC₁₀).₃₅C₂³ = C₂²xS₃xDic₅	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240		(S3xC10).35C2^3	480,1115
(S₃xC₁₀).₃₆C₂³ = C₁₀xC₄oD₁₂	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240		(S3xC10).36C2^3	480,1153
(S₃xC₁₀).₃₇C₂³ = C₁₀xD₄:₂S₃	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240		(S3xC10).37C2^3	480,1155
(S₃xC₁₀).₃₈C₂³ = C₅xD₄:₆D₆	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	120	4	(S3xC10).38C2^3	480,1156
(S₃xC₁₀).₃₉C₂³ = C₁₀xQ₈:₃S₃	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240		(S3xC10).39C2^3	480,1158
(S₃xC₁₀).₄₀C₂³ = C₅xQ₈.₁₅D₆	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240	4	(S3xC10).40C2^3	480,1159
(S₃xC₁₀).₄₁C₂³ = C₅xS₃xC₄oD₄	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	120	4	(S3xC10).41C2^3	480,1160
(S₃xC₁₀).₄₂C₂³ = C₅xD₄oD₁₂	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	120	4	(S3xC10).42C2^3	480,1161
(S₃xC₁₀).₄₃C₂³ = C₅xQ₈oD₁₂	φ: C₂³/C₂² → C₂ ⊆ Out S₃xC₁₀	240	4	(S3xC10).43C2^3	480,1162
(S₃xC₁₀).₄₄C₂³ = S₃xC₂²xC₂₀	φ: trivial image	240		(S3xC10).44C2^3	480,1151
(S₃xC₁₀).₄₅C₂³ = S₃xQ₈xC₁₀	φ: trivial image	240		(S3xC10).45C2^3	480,1157

Extensions 1→N→G→Q→1 with N=S3xC10 and Q=C23

Extensions 1→N→G→Q→1 with N=S₃xC₁₀ and Q=C₂³