extension | φ:Q→Aut N | d | ρ | Label | ID |
C30.1C24 = C2xD5xDic6 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.1C2^4 | 480,1073 |
C30.2C24 = C2xD20:5S3 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.2C2^4 | 480,1074 |
C30.3C24 = C2xD20:S3 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.3C2^4 | 480,1075 |
C30.4C24 = D20.38D6 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | 4 | C30.4C2^4 | 480,1076 |
C30.5C24 = D20.39D6 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | 4- | C30.5C2^4 | 480,1077 |
C30.6C24 = C2xS3xDic10 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.6C2^4 | 480,1078 |
C30.7C24 = C2xD12:D5 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.7C2^4 | 480,1079 |
C30.8C24 = C30.C24 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | 4 | C30.8C2^4 | 480,1080 |
C30.9C24 = C2xD60:C2 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.9C2^4 | 480,1081 |
C30.10C24 = C2xD15:Q8 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.10C2^4 | 480,1082 |
C30.11C24 = C2xD6.D10 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.11C2^4 | 480,1083 |
C30.12C24 = C2xD12:5D5 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.12C2^4 | 480,1084 |
C30.13C24 = C2xC12.28D10 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.13C2^4 | 480,1085 |
C30.14C24 = S3xC2xC4xD5 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | | C30.14C2^4 | 480,1086 |
C30.15C24 = C2xD5xD12 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | | C30.15C2^4 | 480,1087 |
C30.16C24 = C2xS3xD20 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | | C30.16C2^4 | 480,1088 |
C30.17C24 = C2xC20:D6 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | | C30.17C2^4 | 480,1089 |
C30.18C24 = D5xC4oD12 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 4 | C30.18C2^4 | 480,1090 |
C30.19C24 = S3xC4oD20 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 4 | C30.19C2^4 | 480,1091 |
C30.20C24 = D20:24D6 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 4 | C30.20C2^4 | 480,1092 |
C30.21C24 = D20:25D6 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 4 | C30.21C2^4 | 480,1093 |
C30.22C24 = D20:26D6 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 4 | C30.22C2^4 | 480,1094 |
C30.23C24 = D20:29D6 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 4+ | C30.23C2^4 | 480,1095 |
C30.24C24 = C15:2- 1+4 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | 8- | C30.24C2^4 | 480,1096 |
C30.25C24 = S3xD4xD5 | φ: C24/C22 → C22 ⊆ Aut C30 | 60 | 8+ | C30.25C2^4 | 480,1097 |
C30.26C24 = D5xD4:2S3 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 8- | C30.26C2^4 | 480,1098 |
C30.27C24 = S3xD4:2D5 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 8- | C30.27C2^4 | 480,1099 |
C30.28C24 = D30.C23 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 8+ | C30.28C2^4 | 480,1100 |
C30.29C24 = D20:13D6 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 8- | C30.29C2^4 | 480,1101 |
C30.30C24 = D20:14D6 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 8+ | C30.30C2^4 | 480,1102 |
C30.31C24 = D12:14D10 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 8+ | C30.31C2^4 | 480,1103 |
C30.32C24 = D20.29D6 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | 8- | C30.32C2^4 | 480,1104 |
C30.33C24 = C30.33C24 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | 8+ | C30.33C2^4 | 480,1105 |
C30.34C24 = D12.29D10 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | 8- | C30.34C2^4 | 480,1106 |
C30.35C24 = S3xQ8xD5 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 8- | C30.35C2^4 | 480,1107 |
C30.36C24 = D5xQ8:3S3 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 8+ | C30.36C2^4 | 480,1108 |
C30.37C24 = S3xQ8:2D5 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 8+ | C30.37C2^4 | 480,1109 |
C30.38C24 = D20:16D6 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 8- | C30.38C2^4 | 480,1110 |
C30.39C24 = D20:17D6 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 8+ | C30.39C2^4 | 480,1111 |
C30.40C24 = C22xD5xDic3 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.40C2^4 | 480,1112 |
C30.41C24 = C2xDic5.D6 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.41C2^4 | 480,1113 |
C30.42C24 = C2xC30.C23 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.42C2^4 | 480,1114 |
C30.43C24 = C22xS3xDic5 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.43C2^4 | 480,1115 |
C30.44C24 = C2xDic3.D10 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.44C2^4 | 480,1116 |
C30.45C24 = C22xD30.C2 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.45C2^4 | 480,1117 |
C30.46C24 = C22xC15:D4 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.46C2^4 | 480,1118 |
C30.47C24 = C22xC3:D20 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.47C2^4 | 480,1119 |
C30.48C24 = C22xC5:D12 | φ: C24/C22 → C22 ⊆ Aut C30 | 240 | | C30.48C2^4 | 480,1120 |
C30.49C24 = C22xC15:Q8 | φ: C24/C22 → C22 ⊆ Aut C30 | 480 | | C30.49C2^4 | 480,1121 |
C30.50C24 = C2xD5xC3:D4 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | | C30.50C2^4 | 480,1122 |
C30.51C24 = C2xS3xC5:D4 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | | C30.51C2^4 | 480,1123 |
C30.52C24 = C2xD10:D6 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | | C30.52C2^4 | 480,1124 |
C30.53C24 = C15:2+ 1+4 | φ: C24/C22 → C22 ⊆ Aut C30 | 120 | 4 | C30.53C2^4 | 480,1125 |
C30.54C24 = C22xDic30 | φ: C24/C23 → C2 ⊆ Aut C30 | 480 | | C30.54C2^4 | 480,1165 |
C30.55C24 = C22xC4xD15 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.55C2^4 | 480,1166 |
C30.56C24 = C22xD60 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.56C2^4 | 480,1167 |
C30.57C24 = C2xD60:11C2 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.57C2^4 | 480,1168 |
C30.58C24 = C2xD4xD15 | φ: C24/C23 → C2 ⊆ Aut C30 | 120 | | C30.58C2^4 | 480,1169 |
C30.59C24 = C2xD4:2D15 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.59C2^4 | 480,1170 |
C30.60C24 = D4:6D30 | φ: C24/C23 → C2 ⊆ Aut C30 | 120 | 4 | C30.60C2^4 | 480,1171 |
C30.61C24 = C2xQ8xD15 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.61C2^4 | 480,1172 |
C30.62C24 = C2xQ8:3D15 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.62C2^4 | 480,1173 |
C30.63C24 = Q8.15D30 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | 4 | C30.63C2^4 | 480,1174 |
C30.64C24 = C4oD4xD15 | φ: C24/C23 → C2 ⊆ Aut C30 | 120 | 4 | C30.64C2^4 | 480,1175 |
C30.65C24 = D4:8D30 | φ: C24/C23 → C2 ⊆ Aut C30 | 120 | 4+ | C30.65C2^4 | 480,1176 |
C30.66C24 = D4.10D30 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | 4- | C30.66C2^4 | 480,1177 |
C30.67C24 = C23xDic15 | φ: C24/C23 → C2 ⊆ Aut C30 | 480 | | C30.67C2^4 | 480,1178 |
C30.68C24 = C22xC15:7D4 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.68C2^4 | 480,1179 |
C30.69C24 = C2xC6xDic10 | φ: C24/C23 → C2 ⊆ Aut C30 | 480 | | C30.69C2^4 | 480,1135 |
C30.70C24 = D5xC22xC12 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.70C2^4 | 480,1136 |
C30.71C24 = C2xC6xD20 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.71C2^4 | 480,1137 |
C30.72C24 = C6xC4oD20 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.72C2^4 | 480,1138 |
C30.73C24 = C6xD4xD5 | φ: C24/C23 → C2 ⊆ Aut C30 | 120 | | C30.73C2^4 | 480,1139 |
C30.74C24 = C6xD4:2D5 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.74C2^4 | 480,1140 |
C30.75C24 = C3xD4:6D10 | φ: C24/C23 → C2 ⊆ Aut C30 | 120 | 4 | C30.75C2^4 | 480,1141 |
C30.76C24 = C6xQ8xD5 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.76C2^4 | 480,1142 |
C30.77C24 = C6xQ8:2D5 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.77C2^4 | 480,1143 |
C30.78C24 = C3xQ8.10D10 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | 4 | C30.78C2^4 | 480,1144 |
C30.79C24 = C3xD5xC4oD4 | φ: C24/C23 → C2 ⊆ Aut C30 | 120 | 4 | C30.79C2^4 | 480,1145 |
C30.80C24 = C3xD4:8D10 | φ: C24/C23 → C2 ⊆ Aut C30 | 120 | 4 | C30.80C2^4 | 480,1146 |
C30.81C24 = C3xD4.10D10 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | 4 | C30.81C2^4 | 480,1147 |
C30.82C24 = Dic5xC22xC6 | φ: C24/C23 → C2 ⊆ Aut C30 | 480 | | C30.82C2^4 | 480,1148 |
C30.83C24 = C2xC6xC5:D4 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.83C2^4 | 480,1149 |
C30.84C24 = C2xC10xDic6 | φ: C24/C23 → C2 ⊆ Aut C30 | 480 | | C30.84C2^4 | 480,1150 |
C30.85C24 = S3xC22xC20 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.85C2^4 | 480,1151 |
C30.86C24 = C2xC10xD12 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.86C2^4 | 480,1152 |
C30.87C24 = C10xC4oD12 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.87C2^4 | 480,1153 |
C30.88C24 = S3xD4xC10 | φ: C24/C23 → C2 ⊆ Aut C30 | 120 | | C30.88C2^4 | 480,1154 |
C30.89C24 = C10xD4:2S3 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.89C2^4 | 480,1155 |
C30.90C24 = C5xD4:6D6 | φ: C24/C23 → C2 ⊆ Aut C30 | 120 | 4 | C30.90C2^4 | 480,1156 |
C30.91C24 = S3xQ8xC10 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.91C2^4 | 480,1157 |
C30.92C24 = C10xQ8:3S3 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.92C2^4 | 480,1158 |
C30.93C24 = C5xQ8.15D6 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | 4 | C30.93C2^4 | 480,1159 |
C30.94C24 = C5xS3xC4oD4 | φ: C24/C23 → C2 ⊆ Aut C30 | 120 | 4 | C30.94C2^4 | 480,1160 |
C30.95C24 = C5xD4oD12 | φ: C24/C23 → C2 ⊆ Aut C30 | 120 | 4 | C30.95C2^4 | 480,1161 |
C30.96C24 = C5xQ8oD12 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | 4 | C30.96C2^4 | 480,1162 |
C30.97C24 = Dic3xC22xC10 | φ: C24/C23 → C2 ⊆ Aut C30 | 480 | | C30.97C2^4 | 480,1163 |
C30.98C24 = C2xC10xC3:D4 | φ: C24/C23 → C2 ⊆ Aut C30 | 240 | | C30.98C2^4 | 480,1164 |
C30.99C24 = D4xC2xC30 | central extension (φ=1) | 240 | | C30.99C2^4 | 480,1181 |
C30.100C24 = Q8xC2xC30 | central extension (φ=1) | 480 | | C30.100C2^4 | 480,1182 |
C30.101C24 = C4oD4xC30 | central extension (φ=1) | 240 | | C30.101C2^4 | 480,1183 |
C30.102C24 = C15x2+ 1+4 | central extension (φ=1) | 120 | 4 | C30.102C2^4 | 480,1184 |
C30.103C24 = C15x2- 1+4 | central extension (φ=1) | 240 | 4 | C30.103C2^4 | 480,1185 |