extension | φ:Q→Aut N | d | ρ | Label | ID |
C22.1(C23×C10) = C4○D4×C2×C10 | φ: C23×C10/C22×C10 → C2 ⊆ Aut C22 | 160 | | C2^2.1(C2^3xC10) | 320,1631 |
C22.2(C23×C10) = C10×2+ 1+4 | φ: C23×C10/C22×C10 → C2 ⊆ Aut C22 | 80 | | C2^2.2(C2^3xC10) | 320,1632 |
C22.3(C23×C10) = C10×2- 1+4 | φ: C23×C10/C22×C10 → C2 ⊆ Aut C22 | 160 | | C2^2.3(C2^3xC10) | 320,1633 |
C22.4(C23×C10) = C5×C2.C25 | φ: C23×C10/C22×C10 → C2 ⊆ Aut C22 | 80 | 4 | C2^2.4(C2^3xC10) | 320,1634 |
C22.5(C23×C10) = C22⋊C4×C2×C10 | central extension (φ=1) | 160 | | C2^2.5(C2^3xC10) | 320,1514 |
C22.6(C23×C10) = C4⋊C4×C2×C10 | central extension (φ=1) | 320 | | C2^2.6(C2^3xC10) | 320,1515 |
C22.7(C23×C10) = C10×C42⋊C2 | central extension (φ=1) | 160 | | C2^2.7(C2^3xC10) | 320,1516 |
C22.8(C23×C10) = D4×C2×C20 | central extension (φ=1) | 160 | | C2^2.8(C2^3xC10) | 320,1517 |
C22.9(C23×C10) = Q8×C2×C20 | central extension (φ=1) | 320 | | C2^2.9(C2^3xC10) | 320,1518 |
C22.10(C23×C10) = C4○D4×C20 | central extension (φ=1) | 160 | | C2^2.10(C2^3xC10) | 320,1519 |
C22.11(C23×C10) = C5×C22.11C24 | central extension (φ=1) | 80 | | C2^2.11(C2^3xC10) | 320,1520 |
C22.12(C23×C10) = C5×C23.32C23 | central extension (φ=1) | 160 | | C2^2.12(C2^3xC10) | 320,1521 |
C22.13(C23×C10) = C5×C23.33C23 | central extension (φ=1) | 160 | | C2^2.13(C2^3xC10) | 320,1522 |
C22.14(C23×C10) = Q8×C22×C10 | central extension (φ=1) | 320 | | C2^2.14(C2^3xC10) | 320,1630 |
C22.15(C23×C10) = C10×C22≀C2 | central stem extension (φ=1) | 80 | | C2^2.15(C2^3xC10) | 320,1523 |
C22.16(C23×C10) = C10×C4⋊D4 | central stem extension (φ=1) | 160 | | C2^2.16(C2^3xC10) | 320,1524 |
C22.17(C23×C10) = C10×C22⋊Q8 | central stem extension (φ=1) | 160 | | C2^2.17(C2^3xC10) | 320,1525 |
C22.18(C23×C10) = C10×C22.D4 | central stem extension (φ=1) | 160 | | C2^2.18(C2^3xC10) | 320,1526 |
C22.19(C23×C10) = C5×C22.19C24 | central stem extension (φ=1) | 80 | | C2^2.19(C2^3xC10) | 320,1527 |
C22.20(C23×C10) = C10×C4.4D4 | central stem extension (φ=1) | 160 | | C2^2.20(C2^3xC10) | 320,1528 |
C22.21(C23×C10) = C10×C42.C2 | central stem extension (φ=1) | 320 | | C2^2.21(C2^3xC10) | 320,1529 |
C22.22(C23×C10) = C10×C42⋊2C2 | central stem extension (φ=1) | 160 | | C2^2.22(C2^3xC10) | 320,1530 |
C22.23(C23×C10) = C5×C23.36C23 | central stem extension (φ=1) | 160 | | C2^2.23(C2^3xC10) | 320,1531 |
C22.24(C23×C10) = C10×C4⋊1D4 | central stem extension (φ=1) | 160 | | C2^2.24(C2^3xC10) | 320,1532 |
C22.25(C23×C10) = C10×C4⋊Q8 | central stem extension (φ=1) | 320 | | C2^2.25(C2^3xC10) | 320,1533 |
C22.26(C23×C10) = C5×C22.26C24 | central stem extension (φ=1) | 160 | | C2^2.26(C2^3xC10) | 320,1534 |
C22.27(C23×C10) = C5×C23.37C23 | central stem extension (φ=1) | 160 | | C2^2.27(C2^3xC10) | 320,1535 |
C22.28(C23×C10) = C5×C23⋊3D4 | central stem extension (φ=1) | 80 | | C2^2.28(C2^3xC10) | 320,1536 |
C22.29(C23×C10) = C5×C22.29C24 | central stem extension (φ=1) | 80 | | C2^2.29(C2^3xC10) | 320,1537 |
C22.30(C23×C10) = C5×C23.38C23 | central stem extension (φ=1) | 160 | | C2^2.30(C2^3xC10) | 320,1538 |
C22.31(C23×C10) = C5×C22.31C24 | central stem extension (φ=1) | 160 | | C2^2.31(C2^3xC10) | 320,1539 |
C22.32(C23×C10) = C5×C22.32C24 | central stem extension (φ=1) | 80 | | C2^2.32(C2^3xC10) | 320,1540 |
C22.33(C23×C10) = C5×C22.33C24 | central stem extension (φ=1) | 160 | | C2^2.33(C2^3xC10) | 320,1541 |
C22.34(C23×C10) = C5×C22.34C24 | central stem extension (φ=1) | 160 | | C2^2.34(C2^3xC10) | 320,1542 |
C22.35(C23×C10) = C5×C22.35C24 | central stem extension (φ=1) | 160 | | C2^2.35(C2^3xC10) | 320,1543 |
C22.36(C23×C10) = C5×C22.36C24 | central stem extension (φ=1) | 160 | | C2^2.36(C2^3xC10) | 320,1544 |
C22.37(C23×C10) = C5×C23⋊2Q8 | central stem extension (φ=1) | 80 | | C2^2.37(C2^3xC10) | 320,1545 |
C22.38(C23×C10) = C5×C23.41C23 | central stem extension (φ=1) | 160 | | C2^2.38(C2^3xC10) | 320,1546 |
C22.39(C23×C10) = C5×D42 | central stem extension (φ=1) | 80 | | C2^2.39(C2^3xC10) | 320,1547 |
C22.40(C23×C10) = C5×D4⋊5D4 | central stem extension (φ=1) | 80 | | C2^2.40(C2^3xC10) | 320,1548 |
C22.41(C23×C10) = C5×D4⋊6D4 | central stem extension (φ=1) | 160 | | C2^2.41(C2^3xC10) | 320,1549 |
C22.42(C23×C10) = C5×Q8⋊5D4 | central stem extension (φ=1) | 160 | | C2^2.42(C2^3xC10) | 320,1550 |
C22.43(C23×C10) = C5×D4×Q8 | central stem extension (φ=1) | 160 | | C2^2.43(C2^3xC10) | 320,1551 |
C22.44(C23×C10) = C5×Q8⋊6D4 | central stem extension (φ=1) | 160 | | C2^2.44(C2^3xC10) | 320,1552 |
C22.45(C23×C10) = C5×C22.45C24 | central stem extension (φ=1) | 80 | | C2^2.45(C2^3xC10) | 320,1553 |
C22.46(C23×C10) = C5×C22.46C24 | central stem extension (φ=1) | 160 | | C2^2.46(C2^3xC10) | 320,1554 |
C22.47(C23×C10) = C5×C22.47C24 | central stem extension (φ=1) | 160 | | C2^2.47(C2^3xC10) | 320,1555 |
C22.48(C23×C10) = C5×D4⋊3Q8 | central stem extension (φ=1) | 160 | | C2^2.48(C2^3xC10) | 320,1556 |
C22.49(C23×C10) = C5×C22.49C24 | central stem extension (φ=1) | 160 | | C2^2.49(C2^3xC10) | 320,1557 |
C22.50(C23×C10) = C5×C22.50C24 | central stem extension (φ=1) | 160 | | C2^2.50(C2^3xC10) | 320,1558 |
C22.51(C23×C10) = C5×Q8⋊3Q8 | central stem extension (φ=1) | 320 | | C2^2.51(C2^3xC10) | 320,1559 |
C22.52(C23×C10) = C5×Q82 | central stem extension (φ=1) | 320 | | C2^2.52(C2^3xC10) | 320,1560 |
C22.53(C23×C10) = C5×C22.53C24 | central stem extension (φ=1) | 160 | | C2^2.53(C2^3xC10) | 320,1561 |
C22.54(C23×C10) = C5×C22.54C24 | central stem extension (φ=1) | 80 | | C2^2.54(C2^3xC10) | 320,1562 |
C22.55(C23×C10) = C5×C24⋊C22 | central stem extension (φ=1) | 80 | | C2^2.55(C2^3xC10) | 320,1563 |
C22.56(C23×C10) = C5×C22.56C24 | central stem extension (φ=1) | 160 | | C2^2.56(C2^3xC10) | 320,1564 |
C22.57(C23×C10) = C5×C22.57C24 | central stem extension (φ=1) | 160 | | C2^2.57(C2^3xC10) | 320,1565 |
C22.58(C23×C10) = C5×C22.58C24 | central stem extension (φ=1) | 320 | | C2^2.58(C2^3xC10) | 320,1566 |