| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(C2×C4⋊C4) = C23.231C24 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C22 | 64 | | C2^2.1(C2xC4:C4) | 128,1081 |
| C22.2(C2×C4⋊C4) = C42.674C23 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C22 | 64 | | C2^2.2(C2xC4:C4) | 128,1638 |
| C22.3(C2×C4⋊C4) = C4○D4.7Q8 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C22 | 64 | | C2^2.3(C2xC4:C4) | 128,1644 |
| C22.4(C2×C4⋊C4) = C4○D4.8Q8 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C22 | 64 | | C2^2.4(C2xC4:C4) | 128,1645 |
| C22.5(C2×C4⋊C4) = M4(2).29C23 | φ: C2×C4⋊C4/C4⋊C4 → C2 ⊆ Aut C22 | 32 | 4 | C2^2.5(C2xC4:C4) | 128,1648 |
| C22.6(C2×C4⋊C4) = C2×C4.9C42 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.6(C2xC4:C4) | 128,462 |
| C22.7(C2×C4⋊C4) = C2×C4.10C42 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.7(C2xC4:C4) | 128,463 |
| C22.8(C2×C4⋊C4) = C2×C42⋊6C4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.8(C2xC4:C4) | 128,464 |
| C22.9(C2×C4⋊C4) = C24.63D4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.9(C2xC4:C4) | 128,465 |
| C22.10(C2×C4⋊C4) = C2×C4.C42 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 64 | | C2^2.10(C2xC4:C4) | 128,469 |
| C22.11(C2×C4⋊C4) = C24.7Q8 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.11(C2xC4:C4) | 128,470 |
| C22.12(C2×C4⋊C4) = C2×C23.9D4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.12(C2xC4:C4) | 128,471 |
| C22.13(C2×C4⋊C4) = C24.162C23 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.13(C2xC4:C4) | 128,472 |
| C22.14(C2×C4⋊C4) = C2×C22.C42 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 64 | | C2^2.14(C2xC4:C4) | 128,473 |
| C22.15(C2×C4⋊C4) = C23.15C42 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.15(C2xC4:C4) | 128,474 |
| C22.16(C2×C4⋊C4) = C2×M4(2)⋊4C4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.16(C2xC4:C4) | 128,475 |
| C22.17(C2×C4⋊C4) = C24.167C23 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.17(C2xC4:C4) | 128,531 |
| C22.18(C2×C4⋊C4) = C42.96D4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.18(C2xC4:C4) | 128,532 |
| C22.19(C2×C4⋊C4) = C42.97D4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 64 | | C2^2.19(C2xC4:C4) | 128,533 |
| C22.20(C2×C4⋊C4) = (C2×D4).24Q8 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | 4 | C2^2.20(C2xC4:C4) | 128,544 |
| C22.21(C2×C4⋊C4) = (C2×C8).103D4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | 4 | C2^2.21(C2xC4:C4) | 128,545 |
| C22.22(C2×C4⋊C4) = C24.21D4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.22(C2xC4:C4) | 128,588 |
| C22.23(C2×C4⋊C4) = C4.10D4⋊2C4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.23(C2xC4:C4) | 128,589 |
| C22.24(C2×C4⋊C4) = M4(2).40D4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | 4 | C2^2.24(C2xC4:C4) | 128,590 |
| C22.25(C2×C4⋊C4) = C24.22D4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.25(C2xC4:C4) | 128,599 |
| C22.26(C2×C4⋊C4) = (C2×D4).Q8 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | 4 | C2^2.26(C2xC4:C4) | 128,600 |
| C22.27(C2×C4⋊C4) = C23.167C24 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 64 | | C2^2.27(C2xC4:C4) | 128,1017 |
| C22.28(C2×C4⋊C4) = C23.178C24 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 64 | | C2^2.28(C2xC4:C4) | 128,1028 |
| C22.29(C2×C4⋊C4) = C24.91D4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.29(C2xC4:C4) | 128,1047 |
| C22.30(C2×C4⋊C4) = C24.545C23 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 64 | | C2^2.30(C2xC4:C4) | 128,1048 |
| C22.31(C2×C4⋊C4) = C23.199C24 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 64 | | C2^2.31(C2xC4:C4) | 128,1049 |
| C22.32(C2×C4⋊C4) = C2×C4⋊M4(2) | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 64 | | C2^2.32(C2xC4:C4) | 128,1635 |
| C22.33(C2×C4⋊C4) = C2×C42.6C22 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 64 | | C2^2.33(C2xC4:C4) | 128,1636 |
| C22.34(C2×C4⋊C4) = C42.257C23 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.34(C2xC4:C4) | 128,1637 |
| C22.35(C2×C4⋊C4) = C2×C23.25D4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 64 | | C2^2.35(C2xC4:C4) | 128,1641 |
| C22.36(C2×C4⋊C4) = C2×M4(2)⋊C4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 64 | | C2^2.36(C2xC4:C4) | 128,1642 |
| C22.37(C2×C4⋊C4) = C24.100D4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.37(C2xC4:C4) | 128,1643 |
| C22.38(C2×C4⋊C4) = C22×C8.C4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 64 | | C2^2.38(C2xC4:C4) | 128,1646 |
| C22.39(C2×C4⋊C4) = C2×M4(2).C4 | φ: C2×C4⋊C4/C22×C4 → C2 ⊆ Aut C22 | 32 | | C2^2.39(C2xC4:C4) | 128,1647 |
| C22.40(C2×C4⋊C4) = C4×C2.C42 | central extension (φ=1) | 128 | | C2^2.40(C2xC4:C4) | 128,164 |
| C22.41(C2×C4⋊C4) = C24.17Q8 | central extension (φ=1) | 64 | | C2^2.41(C2xC4:C4) | 128,165 |
| C22.42(C2×C4⋊C4) = C24.624C23 | central extension (φ=1) | 128 | | C2^2.42(C2xC4:C4) | 128,166 |
| C22.43(C2×C4⋊C4) = C24.625C23 | central extension (φ=1) | 128 | | C2^2.43(C2xC4:C4) | 128,167 |
| C22.44(C2×C4⋊C4) = C24.626C23 | central extension (φ=1) | 128 | | C2^2.44(C2xC4:C4) | 128,168 |
| C22.45(C2×C4⋊C4) = C2×C8⋊2C8 | central extension (φ=1) | 128 | | C2^2.45(C2xC4:C4) | 128,294 |
| C22.46(C2×C4⋊C4) = C2×C8⋊1C8 | central extension (φ=1) | 128 | | C2^2.46(C2xC4:C4) | 128,295 |
| C22.47(C2×C4⋊C4) = C42.42Q8 | central extension (φ=1) | 64 | | C2^2.47(C2xC4:C4) | 128,296 |
| C22.48(C2×C4⋊C4) = M4(2)⋊1C8 | central extension (φ=1) | 64 | | C2^2.48(C2xC4:C4) | 128,297 |
| C22.49(C2×C4⋊C4) = C2×C22.7C42 | central extension (φ=1) | 128 | | C2^2.49(C2xC4:C4) | 128,459 |
| C22.50(C2×C4⋊C4) = C23.28C42 | central extension (φ=1) | 64 | | C2^2.50(C2xC4:C4) | 128,460 |
| C22.51(C2×C4⋊C4) = C23.29C42 | central extension (φ=1) | 64 | | C2^2.51(C2xC4:C4) | 128,461 |
| C22.52(C2×C4⋊C4) = C2×C22.4Q16 | central extension (φ=1) | 128 | | C2^2.52(C2xC4:C4) | 128,466 |
| C22.53(C2×C4⋊C4) = C24.132D4 | central extension (φ=1) | 64 | | C2^2.53(C2xC4:C4) | 128,467 |
| C22.54(C2×C4⋊C4) = C24.152D4 | central extension (φ=1) | 64 | | C2^2.54(C2xC4:C4) | 128,468 |
| C22.55(C2×C4⋊C4) = C4×C4⋊C8 | central extension (φ=1) | 128 | | C2^2.55(C2xC4:C4) | 128,498 |
| C22.56(C2×C4⋊C4) = C43.7C2 | central extension (φ=1) | 128 | | C2^2.56(C2xC4:C4) | 128,499 |
| C22.57(C2×C4⋊C4) = C42.45Q8 | central extension (φ=1) | 128 | | C2^2.57(C2xC4:C4) | 128,500 |
| C22.58(C2×C4⋊C4) = C4×C4.Q8 | central extension (φ=1) | 128 | | C2^2.58(C2xC4:C4) | 128,506 |
| C22.59(C2×C4⋊C4) = C4×C2.D8 | central extension (φ=1) | 128 | | C2^2.59(C2xC4:C4) | 128,507 |
| C22.60(C2×C4⋊C4) = C8⋊C42 | central extension (φ=1) | 128 | | C2^2.60(C2xC4:C4) | 128,508 |
| C22.61(C2×C4⋊C4) = C4×C8.C4 | central extension (φ=1) | 64 | | C2^2.61(C2xC4:C4) | 128,509 |
| C22.62(C2×C4⋊C4) = C8.6C42 | central extension (φ=1) | 64 | | C2^2.62(C2xC4:C4) | 128,510 |
| C22.63(C2×C4⋊C4) = C42.425D4 | central extension (φ=1) | 64 | | C2^2.63(C2xC4:C4) | 128,529 |
| C22.64(C2×C4⋊C4) = C42⋊8C8 | central extension (φ=1) | 128 | | C2^2.64(C2xC4:C4) | 128,563 |
| C22.65(C2×C4⋊C4) = C42⋊9C8 | central extension (φ=1) | 128 | | C2^2.65(C2xC4:C4) | 128,574 |
| C22.66(C2×C4⋊C4) = C23.21M4(2) | central extension (φ=1) | 64 | | C2^2.66(C2xC4:C4) | 128,582 |
| C22.67(C2×C4⋊C4) = C42.61Q8 | central extension (φ=1) | 128 | | C2^2.67(C2xC4:C4) | 128,671 |
| C22.68(C2×C4⋊C4) = C22×C2.C42 | central extension (φ=1) | 128 | | C2^2.68(C2xC4:C4) | 128,998 |
| C22.69(C2×C4⋊C4) = C2×C4×C4⋊C4 | central extension (φ=1) | 128 | | C2^2.69(C2xC4:C4) | 128,1001 |
| C22.70(C2×C4⋊C4) = C2×C42⋊8C4 | central extension (φ=1) | 128 | | C2^2.70(C2xC4:C4) | 128,1013 |
| C22.71(C2×C4⋊C4) = C2×C42⋊9C4 | central extension (φ=1) | 128 | | C2^2.71(C2xC4:C4) | 128,1016 |
| C22.72(C2×C4⋊C4) = C2×C23.65C23 | central extension (φ=1) | 128 | | C2^2.72(C2xC4:C4) | 128,1023 |
| C22.73(C2×C4⋊C4) = C22×C4⋊C8 | central extension (φ=1) | 128 | | C2^2.73(C2xC4:C4) | 128,1634 |
| C22.74(C2×C4⋊C4) = C22×C4.Q8 | central extension (φ=1) | 128 | | C2^2.74(C2xC4:C4) | 128,1639 |
| C22.75(C2×C4⋊C4) = C22×C2.D8 | central extension (φ=1) | 128 | | C2^2.75(C2xC4:C4) | 128,1640 |
| C22.76(C2×C4⋊C4) = C24.5Q8 | central stem extension (φ=1) | 64 | | C2^2.76(C2xC4:C4) | 128,171 |
| C22.77(C2×C4⋊C4) = C24.631C23 | central stem extension (φ=1) | 128 | | C2^2.77(C2xC4:C4) | 128,173 |
| C22.78(C2×C4⋊C4) = C24.632C23 | central stem extension (φ=1) | 128 | | C2^2.78(C2xC4:C4) | 128,174 |
| C22.79(C2×C4⋊C4) = C24.634C23 | central stem extension (φ=1) | 128 | | C2^2.79(C2xC4:C4) | 128,176 |
| C22.80(C2×C4⋊C4) = C8⋊8M4(2) | central stem extension (φ=1) | 64 | | C2^2.80(C2xC4:C4) | 128,298 |
| C22.81(C2×C4⋊C4) = C8⋊7M4(2) | central stem extension (φ=1) | 64 | | C2^2.81(C2xC4:C4) | 128,299 |
| C22.82(C2×C4⋊C4) = C42.43Q8 | central stem extension (φ=1) | 64 | | C2^2.82(C2xC4:C4) | 128,300 |
| C22.83(C2×C4⋊C4) = C8⋊1M4(2) | central stem extension (φ=1) | 64 | | C2^2.83(C2xC4:C4) | 128,301 |
| C22.84(C2×C4⋊C4) = C42.90D4 | central stem extension (φ=1) | 64 | | C2^2.84(C2xC4:C4) | 128,302 |
| C22.85(C2×C4⋊C4) = C42.91D4 | central stem extension (φ=1) | 64 | | C2^2.85(C2xC4:C4) | 128,303 |
| C22.86(C2×C4⋊C4) = C42.Q8 | central stem extension (φ=1) | 64 | | C2^2.86(C2xC4:C4) | 128,304 |
| C22.87(C2×C4⋊C4) = C42.92D4 | central stem extension (φ=1) | 64 | | C2^2.87(C2xC4:C4) | 128,305 |
| C22.88(C2×C4⋊C4) = C42.21Q8 | central stem extension (φ=1) | 64 | | C2^2.88(C2xC4:C4) | 128,306 |
| C22.89(C2×C4⋊C4) = C42.95D4 | central stem extension (φ=1) | 64 | | C2^2.89(C2xC4:C4) | 128,530 |
| C22.90(C2×C4⋊C4) = C24.133D4 | central stem extension (φ=1) | 64 | | C2^2.90(C2xC4:C4) | 128,539 |
| C22.91(C2×C4⋊C4) = C23.22D8 | central stem extension (φ=1) | 64 | | C2^2.91(C2xC4:C4) | 128,540 |
| C22.92(C2×C4⋊C4) = C24.67D4 | central stem extension (φ=1) | 64 | | C2^2.92(C2xC4:C4) | 128,541 |
| C22.93(C2×C4⋊C4) = C24.19Q8 | central stem extension (φ=1) | 32 | | C2^2.93(C2xC4:C4) | 128,542 |
| C22.94(C2×C4⋊C4) = C24.9Q8 | central stem extension (φ=1) | 32 | | C2^2.94(C2xC4:C4) | 128,543 |
| C22.95(C2×C4⋊C4) = C42.23Q8 | central stem extension (φ=1) | 128 | | C2^2.95(C2xC4:C4) | 128,564 |
| C22.96(C2×C4⋊C4) = C42.55Q8 | central stem extension (φ=1) | 128 | | C2^2.96(C2xC4:C4) | 128,566 |
| C22.97(C2×C4⋊C4) = C42.56Q8 | central stem extension (φ=1) | 128 | | C2^2.97(C2xC4:C4) | 128,567 |
| C22.98(C2×C4⋊C4) = C42.24Q8 | central stem extension (φ=1) | 128 | | C2^2.98(C2xC4:C4) | 128,568 |
| C22.99(C2×C4⋊C4) = C42.322D4 | central stem extension (φ=1) | 64 | | C2^2.99(C2xC4:C4) | 128,569 |
| C22.100(C2×C4⋊C4) = C42.104D4 | central stem extension (φ=1) | 64 | | C2^2.100(C2xC4:C4) | 128,570 |
| C22.101(C2×C4⋊C4) = C42.25Q8 | central stem extension (φ=1) | 128 | | C2^2.101(C2xC4:C4) | 128,575 |
| C22.102(C2×C4⋊C4) = C42.58Q8 | central stem extension (φ=1) | 128 | | C2^2.102(C2xC4:C4) | 128,576 |
| C22.103(C2×C4⋊C4) = C42.59Q8 | central stem extension (φ=1) | 128 | | C2^2.103(C2xC4:C4) | 128,577 |
| C22.104(C2×C4⋊C4) = C42.60Q8 | central stem extension (φ=1) | 128 | | C2^2.104(C2xC4:C4) | 128,578 |
| C22.105(C2×C4⋊C4) = C42.26Q8 | central stem extension (φ=1) | 128 | | C2^2.105(C2xC4:C4) | 128,579 |
| C22.106(C2×C4⋊C4) = C42.324D4 | central stem extension (φ=1) | 64 | | C2^2.106(C2xC4:C4) | 128,580 |
| C22.107(C2×C4⋊C4) = C42.106D4 | central stem extension (φ=1) | 64 | | C2^2.107(C2xC4:C4) | 128,581 |
| C22.108(C2×C4⋊C4) = (C2×C8).195D4 | central stem extension (φ=1) | 64 | | C2^2.108(C2xC4:C4) | 128,583 |
| C22.109(C2×C4⋊C4) = C23.37D8 | central stem extension (φ=1) | 64 | | C2^2.109(C2xC4:C4) | 128,584 |
| C22.110(C2×C4⋊C4) = C24.159D4 | central stem extension (φ=1) | 64 | | C2^2.110(C2xC4:C4) | 128,585 |
| C22.111(C2×C4⋊C4) = C24.71D4 | central stem extension (φ=1) | 64 | | C2^2.111(C2xC4:C4) | 128,586 |
| C22.112(C2×C4⋊C4) = C24.10Q8 | central stem extension (φ=1) | 32 | | C2^2.112(C2xC4:C4) | 128,587 |
| C22.113(C2×C4⋊C4) = C42.27Q8 | central stem extension (φ=1) | 128 | | C2^2.113(C2xC4:C4) | 128,672 |
| C22.114(C2×C4⋊C4) = C42.29Q8 | central stem extension (φ=1) | 128 | | C2^2.114(C2xC4:C4) | 128,679 |
| C22.115(C2×C4⋊C4) = C42.30Q8 | central stem extension (φ=1) | 128 | | C2^2.115(C2xC4:C4) | 128,680 |
| C22.116(C2×C4⋊C4) = C42.31Q8 | central stem extension (φ=1) | 128 | | C2^2.116(C2xC4:C4) | 128,681 |
| C22.117(C2×C4⋊C4) = C42.430D4 | central stem extension (φ=1) | 64 | | C2^2.117(C2xC4:C4) | 128,682 |