extension | φ:Q→Aut N | d | ρ | Label | ID |
(C22xC4).Q8 = M4(2).15D4 | φ: Q8/C1 → Q8 ⊆ Aut C22xC4 | 32 | 8- | (C2^2xC4).Q8 | 128,802 |
(C22xC4).2Q8 = C42.20D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).2Q8 | 128,7 |
(C22xC4).3Q8 = C23.19C42 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).3Q8 | 128,12 |
(C22xC4).4Q8 = C23.21C42 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).4Q8 | 128,14 |
(C22xC4).5Q8 = C24.48D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).5Q8 | 128,29 |
(C22xC4).6Q8 = C24.631C23 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).6Q8 | 128,173 |
(C22xC4).7Q8 = C24.632C23 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).7Q8 | 128,174 |
(C22xC4).8Q8 = C24.633C23 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).8Q8 | 128,175 |
(C22xC4).9Q8 = C24.634C23 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).9Q8 | 128,176 |
(C22xC4).10Q8 = C24.635C23 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).10Q8 | 128,177 |
(C22xC4).11Q8 = M4(2):1C8 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).11Q8 | 128,297 |
(C22xC4).12Q8 = C42.Q8 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).12Q8 | 128,304 |
(C22xC4).13Q8 = C8.6C42 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).13Q8 | 128,510 |
(C22xC4).14Q8 = C24.11Q8 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 16 | 4 | (C2^2xC4).14Q8 | 128,823 |
(C22xC4).15Q8 = C23.508C24 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).15Q8 | 128,1340 |
(C22xC4).16Q8 = C24.46D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).16Q8 | 128,16 |
(C22xC4).17Q8 = C42.23D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).17Q8 | 128,19 |
(C22xC4).18Q8 = C23.8D8 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).18Q8 | 128,21 |
(C22xC4).19Q8 = C42.25D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).19Q8 | 128,22 |
(C22xC4).20Q8 = C42.26D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).20Q8 | 128,23 |
(C22xC4).21Q8 = C42.27D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).21Q8 | 128,24 |
(C22xC4).22Q8 = C23.30D8 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).22Q8 | 128,26 |
(C22xC4).23Q8 = C42.388D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).23Q8 | 128,31 |
(C22xC4).24Q8 = C42.389D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).24Q8 | 128,33 |
(C22xC4).25Q8 = C42.370D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).25Q8 | 128,34 |
(C22xC4).26Q8 = C23.C42 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).26Q8 | 128,37 |
(C22xC4).27Q8 = C23.8C42 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).27Q8 | 128,38 |
(C22xC4).28Q8 = C8:1M4(2) | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).28Q8 | 128,301 |
(C22xC4).29Q8 = C42.90D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).29Q8 | 128,302 |
(C22xC4).30Q8 = C42.91D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).30Q8 | 128,303 |
(C22xC4).31Q8 = C42.92D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).31Q8 | 128,305 |
(C22xC4).32Q8 = C42.21Q8 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).32Q8 | 128,306 |
(C22xC4).33Q8 = C2xC4.9C42 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).33Q8 | 128,462 |
(C22xC4).34Q8 = C2xC4.10C42 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).34Q8 | 128,463 |
(C22xC4).35Q8 = C24.63D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).35Q8 | 128,465 |
(C22xC4).36Q8 = C24.152D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).36Q8 | 128,468 |
(C22xC4).37Q8 = C24.7Q8 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).37Q8 | 128,470 |
(C22xC4).38Q8 = C24.162C23 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).38Q8 | 128,472 |
(C22xC4).39Q8 = C2xC22.C42 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).39Q8 | 128,473 |
(C22xC4).40Q8 = C23.15C42 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).40Q8 | 128,474 |
(C22xC4).41Q8 = C2xM4(2):4C4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).41Q8 | 128,475 |
(C22xC4).42Q8 = C42.95D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).42Q8 | 128,530 |
(C22xC4).43Q8 = C24.67D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).43Q8 | 128,541 |
(C22xC4).44Q8 = C24.9Q8 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).44Q8 | 128,543 |
(C22xC4).45Q8 = C42.104D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).45Q8 | 128,570 |
(C22xC4).46Q8 = C42.106D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).46Q8 | 128,581 |
(C22xC4).47Q8 = (C2xC8).195D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).47Q8 | 128,583 |
(C22xC4).48Q8 = C23.37D8 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).48Q8 | 128,584 |
(C22xC4).49Q8 = C24.159D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).49Q8 | 128,585 |
(C22xC4).50Q8 = C24.71D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).50Q8 | 128,586 |
(C22xC4).51Q8 = C24.10Q8 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).51Q8 | 128,587 |
(C22xC4).52Q8 = C42.430D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).52Q8 | 128,682 |
(C22xC4).53Q8 = C24.545C23 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).53Q8 | 128,1048 |
(C22xC4).54Q8 = C23.199C24 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).54Q8 | 128,1049 |
(C22xC4).55Q8 = C2xC23.81C23 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).55Q8 | 128,1123 |
(C22xC4).56Q8 = C2xC23.83C23 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).56Q8 | 128,1126 |
(C22xC4).57Q8 = C24.268C23 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).57Q8 | 128,1173 |
(C22xC4).58Q8 = C24.569C23 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).58Q8 | 128,1174 |
(C22xC4).59Q8 = C24.584C23 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).59Q8 | 128,1301 |
(C22xC4).60Q8 = C42.188D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).60Q8 | 128,1361 |
(C22xC4).61Q8 = C23.546C24 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).61Q8 | 128,1378 |
(C22xC4).62Q8 = C23.567C24 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).62Q8 | 128,1399 |
(C22xC4).63Q8 = C42.257C23 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).63Q8 | 128,1637 |
(C22xC4).64Q8 = C2xM4(2):C4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).64Q8 | 128,1642 |
(C22xC4).65Q8 = C24.100D4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).65Q8 | 128,1643 |
(C22xC4).66Q8 = C2xM4(2).C4 | φ: Q8/C2 → C22 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).66Q8 | 128,1647 |
(C22xC4).67Q8 = C42.385D4 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).67Q8 | 128,9 |
(C22xC4).68Q8 = M4(2):C8 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).68Q8 | 128,10 |
(C22xC4).69Q8 = C24.624C23 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).69Q8 | 128,166 |
(C22xC4).70Q8 = C24.625C23 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).70Q8 | 128,167 |
(C22xC4).71Q8 = C24.626C23 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).71Q8 | 128,168 |
(C22xC4).72Q8 = C2xC8:2C8 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).72Q8 | 128,294 |
(C22xC4).73Q8 = C2xC8:1C8 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).73Q8 | 128,295 |
(C22xC4).74Q8 = C42.42Q8 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).74Q8 | 128,296 |
(C22xC4).75Q8 = C42.43Q8 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).75Q8 | 128,300 |
(C22xC4).76Q8 = C4xC8.C4 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).76Q8 | 128,509 |
(C22xC4).77Q8 = C42.425D4 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).77Q8 | 128,529 |
(C22xC4).78Q8 = C24.19Q8 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).78Q8 | 128,542 |
(C22xC4).79Q8 = C23.21M4(2) | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).79Q8 | 128,582 |
(C22xC4).80Q8 = C2xC23.63C23 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).80Q8 | 128,1020 |
(C22xC4).81Q8 = C8:8M4(2) | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).81Q8 | 128,298 |
(C22xC4).82Q8 = C8:7M4(2) | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).82Q8 | 128,299 |
(C22xC4).83Q8 = C23.28C42 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).83Q8 | 128,460 |
(C22xC4).84Q8 = C23.29C42 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).84Q8 | 128,461 |
(C22xC4).85Q8 = C2xC42:6C4 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 32 | | (C2^2xC4).85Q8 | 128,464 |
(C22xC4).86Q8 = C2xC22.4Q16 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).86Q8 | 128,466 |
(C22xC4).87Q8 = C24.132D4 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).87Q8 | 128,467 |
(C22xC4).88Q8 = C2xC4.C42 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).88Q8 | 128,469 |
(C22xC4).89Q8 = C24.133D4 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).89Q8 | 128,539 |
(C22xC4).90Q8 = C23.22D8 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).90Q8 | 128,540 |
(C22xC4).91Q8 = C42.322D4 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).91Q8 | 128,569 |
(C22xC4).92Q8 = C42.324D4 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).92Q8 | 128,580 |
(C22xC4).93Q8 = C2xC42:8C4 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).93Q8 | 128,1013 |
(C22xC4).94Q8 = C2xC42:9C4 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).94Q8 | 128,1016 |
(C22xC4).95Q8 = C23.167C24 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).95Q8 | 128,1017 |
(C22xC4).96Q8 = C2xC23.65C23 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).96Q8 | 128,1023 |
(C22xC4).97Q8 = C23.178C24 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).97Q8 | 128,1028 |
(C22xC4).98Q8 = C42.439D4 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).98Q8 | 128,1583 |
(C22xC4).99Q8 = C2xC4:M4(2) | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).99Q8 | 128,1635 |
(C22xC4).100Q8 = C2xC42.6C22 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).100Q8 | 128,1636 |
(C22xC4).101Q8 = C22xC4.Q8 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).101Q8 | 128,1639 |
(C22xC4).102Q8 = C22xC2.D8 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).102Q8 | 128,1640 |
(C22xC4).103Q8 = C2xC23.25D4 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).103Q8 | 128,1641 |
(C22xC4).104Q8 = C22xC8.C4 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 64 | | (C2^2xC4).104Q8 | 128,1646 |
(C22xC4).105Q8 = C22xC42.C2 | φ: Q8/C4 → C2 ⊆ Aut C22xC4 | 128 | | (C2^2xC4).105Q8 | 128,2169 |
(C22xC4).106Q8 = C4xC2.C42 | central extension (φ=1) | 128 | | (C2^2xC4).106Q8 | 128,164 |
(C22xC4).107Q8 = C2xC22.7C42 | central extension (φ=1) | 128 | | (C2^2xC4).107Q8 | 128,459 |
(C22xC4).108Q8 = C2xC4xC4:C4 | central extension (φ=1) | 128 | | (C2^2xC4).108Q8 | 128,1001 |
(C22xC4).109Q8 = C22xC4:C8 | central extension (φ=1) | 128 | | (C2^2xC4).109Q8 | 128,1634 |