| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C4.1(C2×D20) = D4⋊D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 80 | | C4.1(C2xD20) | 320,400 |
| C4.2(C2×D20) = D20.8D4 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 80 | | C4.2(C2xD20) | 320,403 |
| C4.3(C2×D20) = D4⋊3D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | | C4.3(C2xD20) | 320,408 |
| C4.4(C2×D20) = D4.D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | | C4.4(C2xD20) | 320,410 |
| C4.5(C2×D20) = Q8⋊2D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | | C4.5(C2xD20) | 320,433 |
| C4.6(C2×D20) = D10⋊4Q16 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | | C4.6(C2xD20) | 320,435 |
| C4.7(C2×D20) = Q8.D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | | C4.7(C2xD20) | 320,437 |
| C4.8(C2×D20) = D20⋊4D4 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | | C4.8(C2xD20) | 320,438 |
| C4.9(C2×D20) = D4⋊4D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 40 | 4+ | C4.9(C2xD20) | 320,449 |
| C4.10(C2×D20) = M4(2)⋊D10 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 80 | 4 | C4.10(C2xD20) | 320,452 |
| C4.11(C2×D20) = D4.9D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 80 | 4- | C4.11(C2xD20) | 320,453 |
| C4.12(C2×D20) = D4.10D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 80 | 4 | C4.12(C2xD20) | 320,454 |
| C4.13(C2×D20) = C20⋊7D8 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | | C4.13(C2xD20) | 320,642 |
| C4.14(C2×D20) = D4.1D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | | C4.14(C2xD20) | 320,643 |
| C4.15(C2×D20) = D4.2D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | | C4.15(C2xD20) | 320,646 |
| C4.16(C2×D20) = Q8⋊D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | | C4.16(C2xD20) | 320,654 |
| C4.17(C2×D20) = Q8.1D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | | C4.17(C2xD20) | 320,655 |
| C4.18(C2×D20) = C20⋊7Q16 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 320 | | C4.18(C2xD20) | 320,658 |
| C4.19(C2×D20) = D4.3D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 80 | 4 | C4.19(C2xD20) | 320,768 |
| C4.20(C2×D20) = D4.4D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 80 | 4+ | C4.20(C2xD20) | 320,769 |
| C4.21(C2×D20) = D4.5D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | 4- | C4.21(C2xD20) | 320,770 |
| C4.22(C2×D20) = D4⋊5D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 80 | | C4.22(C2xD20) | 320,1226 |
| C4.23(C2×D20) = D4⋊6D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | | C4.23(C2xD20) | 320,1227 |
| C4.24(C2×D20) = Q8×D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | | C4.24(C2xD20) | 320,1247 |
| C4.25(C2×D20) = Q8⋊5D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | | C4.25(C2xD20) | 320,1248 |
| C4.26(C2×D20) = Q8⋊6D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | | C4.26(C2xD20) | 320,1249 |
| C4.27(C2×D20) = D4.11D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 80 | 4 | C4.27(C2xD20) | 320,1423 |
| C4.28(C2×D20) = D4.12D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 80 | 4+ | C4.28(C2xD20) | 320,1424 |
| C4.29(C2×D20) = D4.13D20 | φ: C2×D20/D20 → C2 ⊆ Aut C4 | 160 | 4- | C4.29(C2xD20) | 320,1425 |
| C4.30(C2×D20) = C8⋊5D20 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 160 | | C4.30(C2xD20) | 320,320 |
| C4.31(C2×D20) = C20⋊4D8 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 160 | | C4.31(C2xD20) | 320,322 |
| C4.32(C2×D20) = C8.8D20 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 160 | | C4.32(C2xD20) | 320,323 |
| C4.33(C2×D20) = C20⋊4Q16 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 320 | | C4.33(C2xD20) | 320,326 |
| C4.34(C2×D20) = C8⋊D20 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 160 | | C4.34(C2xD20) | 320,339 |
| C4.35(C2×D20) = C8.D20 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 160 | | C4.35(C2xD20) | 320,342 |
| C4.36(C2×D20) = C2×D80 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 160 | | C4.36(C2xD20) | 320,529 |
| C4.37(C2×D20) = C2×C16⋊D5 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 160 | | C4.37(C2xD20) | 320,530 |
| C4.38(C2×D20) = D80⋊7C2 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 160 | 2 | C4.38(C2xD20) | 320,531 |
| C4.39(C2×D20) = C2×Dic40 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 320 | | C4.39(C2xD20) | 320,532 |
| C4.40(C2×D20) = D80⋊C2 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 80 | 4+ | C4.40(C2xD20) | 320,535 |
| C4.41(C2×D20) = C16.D10 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 160 | 4- | C4.41(C2xD20) | 320,536 |
| C4.42(C2×D20) = C2×C20⋊2Q8 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 320 | | C4.42(C2xD20) | 320,1140 |
| C4.43(C2×D20) = C2×C4.D20 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 160 | | C4.43(C2xD20) | 320,1148 |
| C4.44(C2×D20) = C22×C40⋊C2 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 160 | | C4.44(C2xD20) | 320,1411 |
| C4.45(C2×D20) = C22×D40 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 160 | | C4.45(C2xD20) | 320,1412 |
| C4.46(C2×D20) = C2×D40⋊7C2 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 160 | | C4.46(C2xD20) | 320,1413 |
| C4.47(C2×D20) = C22×Dic20 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 320 | | C4.47(C2xD20) | 320,1414 |
| C4.48(C2×D20) = C2×C8⋊D10 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 80 | | C4.48(C2xD20) | 320,1418 |
| C4.49(C2×D20) = C2×C8.D10 | φ: C2×D20/C2×C20 → C2 ⊆ Aut C4 | 160 | | C4.49(C2xD20) | 320,1419 |
| C4.50(C2×D20) = C8⋊8D20 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 160 | | C4.50(C2xD20) | 320,491 |
| C4.51(C2×D20) = C8⋊2D20 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 160 | | C4.51(C2xD20) | 320,492 |
| C4.52(C2×D20) = C8.2D20 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 160 | | C4.52(C2xD20) | 320,495 |
| C4.53(C2×D20) = C8⋊7D20 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 160 | | C4.53(C2xD20) | 320,510 |
| C4.54(C2×D20) = C8⋊3D20 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 160 | | C4.54(C2xD20) | 320,513 |
| C4.55(C2×D20) = D10⋊2Q16 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 160 | | C4.55(C2xD20) | 320,514 |
| C4.56(C2×D20) = C8.20D20 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 160 | 4- | C4.56(C2xD20) | 320,523 |
| C4.57(C2×D20) = C8.21D20 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 80 | 4+ | C4.57(C2xD20) | 320,524 |
| C4.58(C2×D20) = C8.24D20 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 80 | 4 | C4.58(C2xD20) | 320,525 |
| C4.59(C2×D20) = C2×D20⋊6C4 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 160 | | C4.59(C2xD20) | 320,592 |
| C4.60(C2×D20) = C4○D20⋊9C4 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 160 | | C4.60(C2xD20) | 320,593 |
| C4.61(C2×D20) = C2×C10.Q16 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 320 | | C4.61(C2xD20) | 320,596 |
| C4.62(C2×D20) = C4⋊C4⋊36D10 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 80 | | C4.62(C2xD20) | 320,628 |
| C4.63(C2×D20) = C4○D20⋊10C4 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 160 | | C4.63(C2xD20) | 320,629 |
| C4.64(C2×D20) = C4.(C2×D20) | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 160 | | C4.64(C2xD20) | 320,631 |
| C4.65(C2×D20) = C2×C20.46D4 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 80 | | C4.65(C2xD20) | 320,757 |
| C4.66(C2×D20) = M4(2).31D10 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 80 | 4 | C4.66(C2xD20) | 320,759 |
| C4.67(C2×D20) = C2×C4.12D20 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 160 | | C4.67(C2xD20) | 320,763 |
| C4.68(C2×D20) = C2×D10⋊2Q8 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 160 | | C4.68(C2xD20) | 320,1181 |
| C4.69(C2×D20) = C10.2+ 1+4 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 160 | | C4.69(C2xD20) | 320,1182 |
| C4.70(C2×D20) = C42⋊8D10 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 80 | | C4.70(C2xD20) | 320,1196 |
| C4.71(C2×D20) = C42⋊9D10 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 80 | | C4.71(C2xD20) | 320,1197 |
| C4.72(C2×D20) = C42.92D10 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 160 | | C4.72(C2xD20) | 320,1198 |
| C4.73(C2×D20) = C40.9C23 | φ: C2×D20/C22×D5 → C2 ⊆ Aut C4 | 80 | 4 | C4.73(C2xD20) | 320,1420 |
| C4.74(C2×D20) = C8×D20 | central extension (φ=1) | 160 | | C4.74(C2xD20) | 320,313 |
| C4.75(C2×D20) = C8⋊6D20 | central extension (φ=1) | 160 | | C4.75(C2xD20) | 320,315 |
| C4.76(C2×D20) = D40⋊17C4 | central extension (φ=1) | 80 | 2 | C4.76(C2xD20) | 320,327 |
| C4.77(C2×D20) = C8⋊9D20 | central extension (φ=1) | 160 | | C4.77(C2xD20) | 320,333 |
| C4.78(C2×D20) = D40⋊10C4 | central extension (φ=1) | 80 | 4 | C4.78(C2xD20) | 320,344 |
| C4.79(C2×D20) = C2×C20⋊3C8 | central extension (φ=1) | 320 | | C4.79(C2xD20) | 320,550 |
| C4.80(C2×D20) = C20⋊13M4(2) | central extension (φ=1) | 160 | | C4.80(C2xD20) | 320,551 |
| C4.81(C2×D20) = C2×D20⋊4C4 | central extension (φ=1) | 80 | | C4.81(C2xD20) | 320,554 |
| C4.82(C2×D20) = C42.43D10 | central extension (φ=1) | 160 | | C4.82(C2xD20) | 320,626 |
| C4.83(C2×D20) = C42⋊4D10 | central extension (φ=1) | 80 | 4 | C4.83(C2xD20) | 320,632 |
| C4.84(C2×D20) = C2×C40.6C4 | central extension (φ=1) | 160 | | C4.84(C2xD20) | 320,734 |
| C4.85(C2×D20) = C2×D10⋊1C8 | central extension (φ=1) | 160 | | C4.85(C2xD20) | 320,735 |
| C4.86(C2×D20) = (C22×C8)⋊D5 | central extension (φ=1) | 160 | | C4.86(C2xD20) | 320,737 |
| C4.87(C2×D20) = M4(2).Dic5 | central extension (φ=1) | 80 | 4 | C4.87(C2xD20) | 320,752 |
| C4.88(C2×D20) = D10⋊8M4(2) | central extension (φ=1) | 80 | | C4.88(C2xD20) | 320,753 |
| C4.89(C2×D20) = C4.89(C2×D20) | central extension (φ=1) | 160 | | C4.89(C2xD20) | 320,756 |
| C4.90(C2×D20) = C42.276D10 | central extension (φ=1) | 160 | | C4.90(C2xD20) | 320,1149 |