extension | φ:Q→Aut N | d | ρ | Label | ID |
C23.1(C22xC14) = C14xC23:C4 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 112 | | C2^3.1(C2^2xC14) | 448,817 |
C23.2(C22xC14) = C7xC23.C23 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 112 | 4 | C2^3.2(C2^2xC14) | 448,818 |
C23.3(C22xC14) = C7xC2wrC22 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 56 | 4 | C2^3.3(C2^2xC14) | 448,865 |
C23.4(C22xC14) = C7xC23.7D4 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 112 | 4 | C2^3.4(C2^2xC14) | 448,866 |
C23.5(C22xC14) = C14xC22.D4 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.5(C2^2xC14) | 448,1307 |
C23.6(C22xC14) = C14xC4.4D4 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.6(C2^2xC14) | 448,1309 |
C23.7(C22xC14) = C7xC23.36C23 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.7(C2^2xC14) | 448,1312 |
C23.8(C22xC14) = C14xC4:1D4 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.8(C2^2xC14) | 448,1313 |
C23.9(C22xC14) = C7xC22.29C24 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 112 | | C2^3.9(C2^2xC14) | 448,1318 |
C23.10(C22xC14) = C7xC23.38C23 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.10(C2^2xC14) | 448,1319 |
C23.11(C22xC14) = C7xC22.32C24 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 112 | | C2^3.11(C2^2xC14) | 448,1321 |
C23.12(C22xC14) = C7xC22.34C24 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.12(C2^2xC14) | 448,1323 |
C23.13(C22xC14) = C7xC22.35C24 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.13(C2^2xC14) | 448,1324 |
C23.14(C22xC14) = C7xC22.36C24 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.14(C2^2xC14) | 448,1325 |
C23.15(C22xC14) = C7xD42 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 112 | | C2^3.15(C2^2xC14) | 448,1328 |
C23.16(C22xC14) = C7xD4:5D4 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 112 | | C2^3.16(C2^2xC14) | 448,1329 |
C23.17(C22xC14) = C7xQ8:6D4 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.17(C2^2xC14) | 448,1333 |
C23.18(C22xC14) = C7xC22.45C24 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 112 | | C2^3.18(C2^2xC14) | 448,1334 |
C23.19(C22xC14) = C7xC22.47C24 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.19(C2^2xC14) | 448,1336 |
C23.20(C22xC14) = C7xC22.49C24 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.20(C2^2xC14) | 448,1338 |
C23.21(C22xC14) = C7xC22.50C24 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.21(C2^2xC14) | 448,1339 |
C23.22(C22xC14) = C7xC22.53C24 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.22(C2^2xC14) | 448,1342 |
C23.23(C22xC14) = C7xC22.54C24 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 112 | | C2^3.23(C2^2xC14) | 448,1343 |
C23.24(C22xC14) = C7xC24:C22 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 112 | | C2^3.24(C2^2xC14) | 448,1344 |
C23.25(C22xC14) = C7xC22.56C24 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.25(C2^2xC14) | 448,1345 |
C23.26(C22xC14) = C7xC22.57C24 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 224 | | C2^3.26(C2^2xC14) | 448,1346 |
C23.27(C22xC14) = C7xC2.C25 | φ: C22xC14/C14 → C22 ⊆ Aut C23 | 112 | 4 | C2^3.27(C2^2xC14) | 448,1391 |
C23.28(C22xC14) = D4xC2xC28 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.28(C2^2xC14) | 448,1298 |
C23.29(C22xC14) = C4oD4xC28 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.29(C2^2xC14) | 448,1300 |
C23.30(C22xC14) = C7xC22.11C24 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 112 | | C2^3.30(C2^2xC14) | 448,1301 |
C23.31(C22xC14) = C7xC23.32C23 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.31(C2^2xC14) | 448,1302 |
C23.32(C22xC14) = C7xC23.33C23 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.32(C2^2xC14) | 448,1303 |
C23.33(C22xC14) = C7xC22.19C24 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 112 | | C2^3.33(C2^2xC14) | 448,1308 |
C23.34(C22xC14) = C7xC22.26C24 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.34(C2^2xC14) | 448,1315 |
C23.35(C22xC14) = C7xC23.37C23 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.35(C2^2xC14) | 448,1316 |
C23.36(C22xC14) = C7xC23:3D4 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 112 | | C2^3.36(C2^2xC14) | 448,1317 |
C23.37(C22xC14) = C7xC22.31C24 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.37(C2^2xC14) | 448,1320 |
C23.38(C22xC14) = C7xC22.33C24 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.38(C2^2xC14) | 448,1322 |
C23.39(C22xC14) = C7xC23:2Q8 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 112 | | C2^3.39(C2^2xC14) | 448,1326 |
C23.40(C22xC14) = C7xC23.41C23 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.40(C2^2xC14) | 448,1327 |
C23.41(C22xC14) = C7xD4:6D4 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.41(C2^2xC14) | 448,1330 |
C23.42(C22xC14) = C7xQ8:5D4 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.42(C2^2xC14) | 448,1331 |
C23.43(C22xC14) = C7xD4xQ8 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.43(C2^2xC14) | 448,1332 |
C23.44(C22xC14) = C7xC22.46C24 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.44(C2^2xC14) | 448,1335 |
C23.45(C22xC14) = C7xD4:3Q8 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.45(C2^2xC14) | 448,1337 |
C23.46(C22xC14) = C4oD4xC2xC14 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.46(C2^2xC14) | 448,1388 |
C23.47(C22xC14) = C14x2- 1+4 | φ: C22xC14/C2xC14 → C2 ⊆ Aut C23 | 224 | | C2^3.47(C2^2xC14) | 448,1390 |
C23.48(C22xC14) = C14xC2.C42 | central extension (φ=1) | 448 | | C2^3.48(C2^2xC14) | 448,783 |
C23.49(C22xC14) = C7xC42:4C4 | central extension (φ=1) | 448 | | C2^3.49(C2^2xC14) | 448,784 |
C23.50(C22xC14) = C22:C4xC28 | central extension (φ=1) | 224 | | C2^3.50(C2^2xC14) | 448,785 |
C23.51(C22xC14) = C4:C4xC28 | central extension (φ=1) | 448 | | C2^3.51(C2^2xC14) | 448,786 |
C23.52(C22xC14) = C7xC24:3C4 | central extension (φ=1) | 112 | | C2^3.52(C2^2xC14) | 448,787 |
C23.53(C22xC14) = C7xC23.7Q8 | central extension (φ=1) | 224 | | C2^3.53(C2^2xC14) | 448,788 |
C23.54(C22xC14) = C7xC23.34D4 | central extension (φ=1) | 224 | | C2^3.54(C2^2xC14) | 448,789 |
C23.55(C22xC14) = C7xC42:8C4 | central extension (φ=1) | 448 | | C2^3.55(C2^2xC14) | 448,790 |
C23.56(C22xC14) = C7xC42:5C4 | central extension (φ=1) | 448 | | C2^3.56(C2^2xC14) | 448,791 |
C23.57(C22xC14) = C7xC42:9C4 | central extension (φ=1) | 448 | | C2^3.57(C2^2xC14) | 448,792 |
C23.58(C22xC14) = C7xC23.8Q8 | central extension (φ=1) | 224 | | C2^3.58(C2^2xC14) | 448,793 |
C23.59(C22xC14) = C7xC23.23D4 | central extension (φ=1) | 224 | | C2^3.59(C2^2xC14) | 448,794 |
C23.60(C22xC14) = C7xC23.63C23 | central extension (φ=1) | 448 | | C2^3.60(C2^2xC14) | 448,795 |
C23.61(C22xC14) = C7xC24.C22 | central extension (φ=1) | 224 | | C2^3.61(C2^2xC14) | 448,796 |
C23.62(C22xC14) = C7xC23.65C23 | central extension (φ=1) | 448 | | C2^3.62(C2^2xC14) | 448,797 |
C23.63(C22xC14) = C7xC24.3C22 | central extension (φ=1) | 224 | | C2^3.63(C2^2xC14) | 448,798 |
C23.64(C22xC14) = C7xC23.67C23 | central extension (φ=1) | 448 | | C2^3.64(C2^2xC14) | 448,799 |
C23.65(C22xC14) = C22:C4xC2xC14 | central extension (φ=1) | 224 | | C2^3.65(C2^2xC14) | 448,1295 |
C23.66(C22xC14) = C4:C4xC2xC14 | central extension (φ=1) | 448 | | C2^3.66(C2^2xC14) | 448,1296 |
C23.67(C22xC14) = C14xC42:C2 | central extension (φ=1) | 224 | | C2^3.67(C2^2xC14) | 448,1297 |
C23.68(C22xC14) = Q8xC2xC28 | central extension (φ=1) | 448 | | C2^3.68(C2^2xC14) | 448,1299 |
C23.69(C22xC14) = C14xC4:D4 | central extension (φ=1) | 224 | | C2^3.69(C2^2xC14) | 448,1305 |
C23.70(C22xC14) = C14xC22:Q8 | central extension (φ=1) | 224 | | C2^3.70(C2^2xC14) | 448,1306 |
C23.71(C22xC14) = C14xC42.C2 | central extension (φ=1) | 448 | | C2^3.71(C2^2xC14) | 448,1310 |
C23.72(C22xC14) = C14xC42:2C2 | central extension (φ=1) | 224 | | C2^3.72(C2^2xC14) | 448,1311 |
C23.73(C22xC14) = C14xC4:Q8 | central extension (φ=1) | 448 | | C2^3.73(C2^2xC14) | 448,1314 |
C23.74(C22xC14) = Q8xC22xC14 | central extension (φ=1) | 448 | | C2^3.74(C2^2xC14) | 448,1387 |
C23.75(C22xC14) = C7xC23:2D4 | central stem extension (φ=1) | 224 | | C2^3.75(C2^2xC14) | 448,800 |
C23.76(C22xC14) = C7xC23:Q8 | central stem extension (φ=1) | 224 | | C2^3.76(C2^2xC14) | 448,801 |
C23.77(C22xC14) = C7xC23.10D4 | central stem extension (φ=1) | 224 | | C2^3.77(C2^2xC14) | 448,802 |
C23.78(C22xC14) = C7xC23.78C23 | central stem extension (φ=1) | 448 | | C2^3.78(C2^2xC14) | 448,803 |
C23.79(C22xC14) = C7xC23.Q8 | central stem extension (φ=1) | 224 | | C2^3.79(C2^2xC14) | 448,804 |
C23.80(C22xC14) = C7xC23.11D4 | central stem extension (φ=1) | 224 | | C2^3.80(C2^2xC14) | 448,805 |
C23.81(C22xC14) = C7xC23.81C23 | central stem extension (φ=1) | 448 | | C2^3.81(C2^2xC14) | 448,806 |
C23.82(C22xC14) = C7xC23.4Q8 | central stem extension (φ=1) | 224 | | C2^3.82(C2^2xC14) | 448,807 |
C23.83(C22xC14) = C7xC23.83C23 | central stem extension (φ=1) | 448 | | C2^3.83(C2^2xC14) | 448,808 |
C23.84(C22xC14) = C7xC23.84C23 | central stem extension (φ=1) | 448 | | C2^3.84(C2^2xC14) | 448,809 |