All subgroups of index up to 342921600 (order at least 9335040) are shown, as well as all normal subgroups of any index.
| Order 3201186852864000: $A_{18}$ |
| Order 177843714048000: $A_{17}$ |
| Order 20922789888000: $S_{16}$ |
| Order 10461394944000: $A_{16}$ |
| Order 3923023104000: $C_3.S_{15}$ |
| Order 1961511552000: $C_3.A_{15}$ |
| Order 1307674368000: $S_{15}$ |
| Order 1046139494400: $A_4.A_{14}.C_2$ |
| Order 653837184000: $A_{15}$ |
| Order 523069747200: $A_{14}\times A_4$ |
| Order 373621248000: $A_{13}.S_5$ |
| Order 348713164800: $C_2^2.A_{14}.C_2$ |
| Order 261534873600: $C_3.S_{14}$ |
| Order 186810624000: $A_{13}.A_5$ |
| Order 174356582400: $C_2^2.A_{14}$, $C_2.A_{14}.C_2$, $C_2.S_{14}$ |
| Order 172440576000: $A_{12}.A_6.C_2$ |
| Order 131681894400: $A_9^2.C_4$ |
| Order 130767436800: $C_3.A_{14}$ |
| Order 100590336000: $A_{11}.A_7.C_2$ |
| Order 87178291200: $C_2.A_{14}$, $S_{14}$ |
| Order 86220288000: $A_{12}.A_6$ |
| Order 74724249600: $A_4.A_{13}.C_2$ |
| Order 73156608000: $A_{10}.A_8.C_2$ |
| Order 65840947200: $A_9.A_9.C_2$ |
| Order 62270208000: $D_5.A_{13}.C_2$ |
| Order 50295168000: $A_{11}.A_7$ |
| Order 43589145600: $A_{14}$ |
| Order 37362124800: $A_4.A_{13}$, $S_3\times S_{13}$ |
| Order 36578304000: $A_{10}.A_8$ |
| Order 32920473600: $A_9.A_9$ |
| Order 31135104000: $D_5\times A_{13}$ |
| Order 28740096000: $A_{12}.S_5$, $A_5.A_{12}.C_2$ |
| Order 24908083200: $C_2^2.A_{13}.C_2$ |
| Order 18681062400: $C_3.S_{13}$, $C_3.S_{13}$, $A_{13}\times S_3$ |
| Order 17244057600: $C_3:S_3.C_2.A_{12}.C_2$ |
| Order 15567552000: $C_5.A_{13}$ |
| Order 14370048000: $A_{12}.A_5$, $A_6.A_{11}.C_2$, $A_5.A_{12}$ |
| Order 12454041600: $C_2^2.A_{13}$, $C_2.A_{13}.C_2$, $C_2\times S_{13}$ |
| Order 11496038400: $S_4.A_{12}.C_2$ x 2 |
| Order 9340531200: $C_3\times A_{13}$ |
| Order 9144576000: $A_7.A_{10}.C_2$ |
| Order 8622028800: $C_3:S_3.A_{12}.C_2$ x 2, $A_{12}\times C_3:S_3.C_2$ |
| Order 7315660800: $A_8.A_9.C_2$ |
| Order 7185024000: $A_{11}\times A_6$ |
| Order 6227020800: $C_2\times A_{13}$, $S_{13}$ |
| Order 5748019200: $A_4.A_{12}.C_2$ x 4, $S_4.A_{12}$, $A_{12}\times S_4$ |
| Order 4790016000: $D_5.A_{12}.C_2$, $A_{11}.S_5.C_2$ |
| Order 4572288000: $A_{10}\times A_7$ |
| Order 4311014400: $C_3^2.A_{12}.C_2$ x 2, $C_3:S_3.A_{12}$ |
| Order 3832012800: $D_4.A_{12}.C_2$ |
| Order 3657830400: $A_9\times A_8$ |
| Order 3353011200: $\PSL(2,7)\times A_{11}$ |
| Order 3251404800: $S_8\wr C_2$ |
| Order 3113510400: $A_{13}$ |
| Order 2874009600: $A_4.A_{12}$ x 2, $S_3\times S_{12}$ x 2, $C_3:S_4.A_{11}.C_2$ |
| Order 2612736000: $A_{10}.A_6.C_2^2$ |
| Order 2438553600: $C_2^3.\PSL(2,7)\times A_{10}$ |
| Order 2395008000: $A_{11}.S_5$ x 2, $A_{12}\times D_5$, $A_{11}.A_5.C_2$, $A_5.A_{11}.C_2$ |
| Order 2155507200: $C_3^2.A_{12}$ |
| Order 2090188800: $A_4^2.C_2^2.A_{10}.C_2$ |
| Order 1916006400: $C_2^2.A_{12}.C_2$ x 3, $C_4.A_{12}.C_2$ x 2, $D_4.A_{12}$, $C_2^2\times S_{12}$ |
| Order 1828915200: $A_9.A_7.C_2^2$ |
| Order 1625702400: $A_8.A_8.C_2^2$, $A_8^2.C_2^2$, $A_8^2.C_4$ |
| Order 1437004800: $(C_3\times A_4).A_{11}.C_2$ x 2, $C_3.S_{12}$ x 2, $C_3\times S_{12}$ x 2, $S_3\times A_{12}$ x 2, $C_3:S_4.A_{11}$, $C_3:S_3.C_2.A_{11}.C_2$ |
| Order 1306368000: $A_{10}.A_6.C_2$ x 3, $(C_3\times A_5).A_{10}.C_2^2$ |
| Order 1197504000: $A_{11}\times A_5$ x 2, $C_5\times A_{12}$ |
| Order 1119744000: $A_6^3.S_4$ |
| Order 1045094400: $\PSOPlusPlus(4,3).A_{10}.C_2$ x 2, $A_4^2.C_2^2\times A_{10}$ |
| Order 958003200: $C_2\times S_{12}$ x 3, $C_2^2.A_{12}$ x 2, $S_4\times S_{11}$ x 2, $C_4.A_{12}$, $C_3:D_4.A_{11}.C_2$, $C_2.A_{12}.C_2$ |
| Order 914457600: $A_9.A_7.C_2$ x 3 |
| Order 838252800: $C_7:C_3.A_{11}.C_2$ |
| Order 812851200: $A_8.A_8.C_2$ x 2, $A_8\wr C_2$ |
| Order 798336000: $F_5.A_{11}.C_2$ |
| Order 783820800: $C_3.A_6.A_9.C_2^2$ |
| Order 718502400: $C_3:S_3.A_{11}.C_2$ x 2, $C_3\times A_{12}$ x 2, $C_3:S_3.C_2\times A_{11}$, $(C_3\times A_4).A_{11}$ |
| Order 696729600: $C_2^3:S_4.A_{10}.C_2$ |
| Order 653184000: $(C_3\times A_5).A_{10}.C_2$ x 3, $A_{10}\times A_6$ |
| Order 609638400: $C_3.A_7.A_8.C_2^2$, $A_{10}.\SO(3,7)$, $A_4.A_7^2.D_4$ |
| Order 580608000: $A_8.A_5^2.D_4$ |
| Order 559872000: $A_6^3.A_4$ |
| Order 522547200: $\PSOPlusPlus(4,3).A_{10}$, $A_4^2.A_{10}.C_2$, $A_4\wr C_2.A_{10}$, $A_4.A_9.S_5.C_2$ |
| Order 479001600: $S_4\times A_{11}$ x 3, $D_6.A_{11}.C_2$ x 2, $C_3:C_4.A_{11}.C_2$ x 2, $(C_2\times C_6).A_{11}.C_2$ x 2, $A_4.S_{11}$ x 2, $A_4\times S_{11}$ x 2, $S_{12}$ x 2, $C_3:D_4.A_{11}$, $C_2\times A_{12}$ |
| Order 457228800: $A_9\times A_7$ |
| Order 435456000: $S_5\times S_{10}$ x 2 |
| Order 419126400: $C_7:C_3\times A_{11}$ |
| Order 406425600: $A_8^2$ |
| Order 399168000: $D_5.A_{11}.C_2$ x 2, $F_5\times A_{11}$ |
| Order 391910400: $C_3.A_6.A_9.C_2$ x 3 |
| Order 373248000: $A_6.A_6^2.D_4$ |
| Order 359251200: $C_3^2.A_{11}.C_2$ x 2, $C_3:S_3.A_{11}$ |
| Order 348364800: $C_2^3:A_4.A_{10}.C_2$ x 2, $\GL(2,\mathbb{Z}/4).A_{10}.C_2$, $C_2^3:S_4.A_{10}$, $C_2^2:S_4:C_2.A_{10}$, $A_4.A_8.A_6.C_2^2$ |
| Order 326592000: $(C_3\times A_5).A_{10}$ |
| Order 319334400: $D_4\times S_{11}$ |
| Order 304819200: $C_3.A_7.A_8.C_2$ x 3, $A_{10}\times \PSL(2,7)$ x 2, $A_{10}\times F_8:C_3$, $A_4.A_7^2.C_4$, $A_4.A_7^2.C_2^2$, $A_4.A_7.A_7.C_2^2$ |
| Order 290304000: $A_8.A_5^2.C_4$, $A_8.A_5^2.C_2^2$, $A_5.A_5.A_8.C_2^2$ |
| Order 279936000: $A_6\wr S_3$ |
| Order 279417600: $C_7.A_{11}.C_2$ |
| Order 274337280: $A_9\times \SL(2,8).C_3$ |
| Order 261273600: $A_4.A_9.S_5$ x 2, $S_3\wr C_2.A_{10}.C_2$, $C_3:S_4.A_{10}.C_2$, $A_4^2.A_{10}$, $A_4.A_9.A_5.C_2$, $S_6\times S_9$ |
| Order 243855360: $A_9\times C_2^3.\PSL(2,7)$ |
| Order 239500800: $C_6.A_{11}.C_2$ x 4, $A_4\times A_{11}$ x 3, $S_3\times S_{11}$ x 3, $D_6.A_{11}$, $C_3:C_4.A_{11}$, $(C_2\times C_6).A_{11}$, $A_{12}$ |
| Order 235146240: $C_3^3.S_4.A_9.C_2$ |
| Order 232243200: $C_2\wr C_2^2.A_{10}.C_2$ |
| Order 217728000: $S_5\times A_{10}$ x 2, $A_5.S_{10}$ x 2, $A_5\times S_{10}$ x 2, $C_3:F_5.A_{10}.C_2$, $A_6.A_7.S_5.C_2$ |
| Order 209018880: $A_4^2.C_2^2.A_9.C_2$ |
| Order 203212800: $C_2^2.A_7^2.D_4$, $S_7\times S_8$ |
| Order 199584000: $C_5.A_{11}.C_2$ x 2, $D_5\times A_{11}$ |
| Order 195955200: $C_3.A_6.A_9$ |
| Order 186624000: $A_6.A_6^2.C_4$, $A_6.A_6^2.C_2^2$, $A_6.A_6.A_6.C_2^2$ |
| Order 179625600: $C_3^2.A_{11}$ |
| Order 174182400: $A_4.A_8.A_6.C_2$ x 3, $C_2^2:S_4.A_{10}$ x 2, $A_4:C_4.A_{10}.C_2$ x 2, $(C_2^2\times A_4).A_{10}.C_2$ x 2, $(C_2\times S_4).A_{10}.C_2$ x 2, $\GL(2,\mathbb{Z}/4).A_{10}$, $C_2^3:A_4.A_{10}$, $C_2^2\wr C_2:C_3.A_{10}$, $C_2^2.A_9.S_5.C_2$, $C_2\times S_4\times S_{10}$ |
| Order 159667200: $C_2^2\times S_{11}$ x 2, $C_2^2.S_{11}$ x 2, $C_4\times S_{11}$, $C_4.S_{11}$, $A_{11}\times D_4$ |
| Order 152409600: $A_4.A_7.A_7.C_2$ x 2, $C_3.A_7.A_8$, $A_4.A_7^2.C_2$, $A_7^2.D_{12}$ |
| Order 145152000: $A_5.A_5.A_8.C_2$ x 2, $A_8.A_5^2.C_2$ |
| Order 139968000: $A_6\wr C_3$ |
| Order 139708800: $C_7\times A_{11}$ |
| Order 130636800: $S_3^2.A_{10}.C_2$ x 4, $C_3:S_3.C_2.A_{10}.C_2$ x 2, $(C_3\times A_4).A_{10}.C_2$ x 2, $S_3\wr C_2\times A_{10}$, $C_3:S_4.A_{10}$, $C_3.A_9.S_5.C_2$, $A_4.A_9.A_5$, $(C_3\times A_5).A_9.C_2^2$, $A_6.S_9$, $S_6\times A_9$, $A_6\times S_9$ |
| Order 119750400: $C_3.S_{11}$ x 3, $C_3\times S_{11}$ x 2, $S_3\times A_{11}$ x 2, $C_6.A_{11}$ |
| Order 117573120: $C_3^3:C_2^2:C_3.A_9.C_2$ x 2, $C_3^3.S_4\times A_9$ |
| Order 116121600: $Q_8:C_2^2.A_{10}.C_2$ x 2, $C_2^2\wr C_2.A_{10}.C_2$ x 2, $C_2^2.D_4.A_{10}.C_2$ x 2, $C_2^2.A_8.A_6.C_2^2$, $C_2\wr C_2^2\times A_{10}$ |
| Order 108864000: $A_6.A_7.S_5$ x 2, $(C_3\times D_5).A_{10}.C_2$ x 2, $A_5\times A_{10}$ x 2, $C_3:F_5.A_{10}$, $A_6.A_7.A_5.C_2$ |
| Order 104509440: $\PSOPlusPlus(4,3).A_9.C_2$ x 2, $A_4^2.C_2^2\times A_9$ |
| Order 101606400: $C_2.A_7^2.D_4$ x 2, $C_2^2.A_7^2.C_4$, $C_2^2.A_7.A_7.C_2^2$, $A_{10}\times F_8$, $S_7\times A_8$, $A_7.S_8$, $A_7\times S_8$, $S_7^2.C_2^2$, $S_7^2.C_4$, $A_7^2.(C_2\times D_4)$ |
| Order 99792000: $C_5\times A_{11}$ |
| Order 93312000: $A_6.A_6^2.C_2$, $A_6.A_6.A_6.C_2$ |
| Order 92897280: $C_2^8.S_9$ |
| Order 91445760: $A_9\times \SL(2,8)$ |
| Order 87091200: $(C_2\times A_4).A_{10}.C_2$ x 6, $S_4\times S_{10}$ x 6, $C_2.A_9.A_5.C_2^2$ x 3, $C_2^2.A_9.S_5$ x 2, $(C_2\times S_4).A_{10}$ x 2, $\SL(2,3).A_{10}.C_2$, $C_3:D_4.A_{10}.C_2$, $C_3.A_8.A_6.C_2^2$, $C_2^4:C_3.A_{10}$, $C_2^2.A_9.A_5.C_2$, $C_2\times S_5\times S_9$, $C_2\times S_4\times A_{10}$, $A_4:F_5.A_9.C_2$, $A_4:C_4.A_{10}$, $A_4.A_8.A_6$, $(C_2^2\times A_4).A_{10}$ |
| Order 79833600: $C_2\times S_{11}$ x 3, $C_2^2\times A_{11}$ x 2, $C_4\times A_{11}$, $C_2.S_{11}$ |
| Order 78382080: $\ASL(2,3).A_9.C_2$, $C_3:S_3\wr C_2.A_9.C_2$ |
| Order 77414400: $C_2^4.A_8.S_5.C_2$ |
| Order 76204800: $C_7:C_3.A_{10}.C_2$, $C_3.A_7.A_7.C_2^2$, $A_4.A_7.A_7$, $A_7^2.D_6$, $A_7^2.C_{12}$ |
| Order 72576000: $A_7.A_5^2.D_4$, $A_5.A_5.A_8$, $F_5\times S_{10}$ |
| Order 69672960: $C_2^3:S_4.A_9.C_2$ |
| Order 65318400: $C_3:S_3.A_{10}.C_2$ x 4, $(C_3\times S_3).A_{10}.C_2$ x 4, $(C_3\times A_5).A_9.C_2$ x 3, $S_3^2.A_{10}$ x 2, $C_3.A_9.S_5$ x 2, $C_3:S_3.C_2\times A_{10}$, $C_3.A_9.A_5.C_2$, $(C_3\times A_4).A_{10}$, $A_6\times A_9$ |
| Order 62208000: $A_5.A_6^2.D_4$ x 2 |
| Order 60963840: $\PSL(2,7).A_9.C_2$, $A_9.\PSL(2,7).C_2$ |
| Order 59875200: $C_3\times A_{11}$ x 2 |
| Order 58786560: $C_3^3:C_2^2:C_3.A_9$, $C_3\wr C_3:C_2.A_9.C_2$ |
| Order 58060800: $(C_2\times D_4).A_{10}.C_2$ x 6, $C_2.A_8.A_6.C_2^2$ x 4, $C_2^2:C_4.A_{10}.C_2$ x 3, $C_2^2.A_8.A_6.C_2$ x 3, $D_4:C_2.A_{10}.C_2$ x 2, $C_2^2\wr C_2.A_{10}$ x 2, $C_2^2.D_4.A_{10}$ x 2, $Q_8:C_2^2.A_{10}$, $C_2^4.A_{10}.C_2$, $A_4.A_8.S_5.C_2$, $A_4.A_5.A_8.C_2^2$ |
| Order 54432000: $C_{15}.A_{10}.C_2$, $C_5\times C_3.A_{10}.C_2$, $A_6.A_7.A_5$, $(C_3\times D_5).A_{10}$ |
| Order 54190080: $S_8\times C_2^3.\PSL(2,7)$ |
| Order 52254720: $(S_3\times S_4).A_9.C_2$ x 2, $\PSOPlusPlus(4,3).A_9$, $A_4^2.A_9.C_2$, $A_4\wr C_2.A_9$ |
| Order 50803200: $C_2.A_7.A_7.C_2^2$ x 3, $C_2^2.A_7.A_7.C_2$ x 2, $C_2\times A_7^2.C_4$ x 2, $S_7\wr C_2$ x 2, $A_7\times A_8$, $A_7^2.C_2^3$, $A_7^2.D_4$, $A_7^2.(C_2\times C_4)$, $A_7^2.D_4$ |
| Order 48384000: $D_5.A_5.A_8.C_2^2$ |
| Order 46656000: $A_6.A_6.A_6$ |
| Order 46448640: $A_4^2.D_4.A_8.C_2$, $C_2^8.A_9$ |
| Order 43545600: $S_4\times A_{10}$ x 6, $C_2.A_9.S_5$ x 4, $A_4.S_{10}$ x 4, $C_3.A_8.A_6.C_2$ x 3, $(C_2\times A_4).A_{10}$ x 3, $S_5\times S_9$ x 3, $A_4\times S_{10}$ x 3, $C_3:C_4.A_{10}.C_2$ x 2, $C_2.A_9.A_5.C_2$ x 2, $(D_5\times A_4).A_9.C_2$ x 2, $(C_2\times C_6).A_{10}.C_2$ x 2, $D_6.S_{10}$ x 2, $\SL(2,3).A_{10}$, $D_6.A_{10}.C_2$, $C_3:D_4.A_{10}$, $C_2^2.A_9.A_5$, $A_4:F_5.A_9$, $A_4.A_6.A_7.C_2^2$ |
| Order 39916800: $S_{11}$ x 2, $C_2\times A_{11}$ |
| Order 39191040: $C_3^3:C_2^2.A_9.C_2$ x 4, $(C_3\times C_3:S_3.C_2).A_9.C_2$ x 2, $\ASL(2,3)\times A_9$, $C_3:S_3\wr C_2\times A_9$ |
| Order 38707200: $C_2^4.A_8.S_5$ x 2, $C_2^4.A_8.A_5.C_2$ |
| Order 38102400: $C_3.A_7.A_7.C_2$ x 2, $C_7:C_3\times A_{10}$, $A_7^2.S_3$ |
| Order 37324800: $C_3:S_3.C_2.A_6^2.D_4$ |
| Order 36288000: $D_5.A_6.A_7.C_2^2$, $A_7.A_5^2.C_4$, $A_7.A_5^2.C_2^2$, $A_7.A_5.S_5.C_2$, $A_5.A_7.A_5.C_2^2$, $F_5\times A_{10}$, $D_5.S_{10}$, $D_5\times S_{10}$ |
| Order 34836480: $C_2^3:A_4.A_9.C_2$ x 2, $\GL(2,\mathbb{Z}/4).A_9.C_2$, $C_6^2.D_{12}.A_8.C_2$, $C_2^3:S_4.A_9$, $C_2^2:S_4:C_2.A_9$ |
| Order 34214400: $A_6\times M_{12}$ |
| Order 32659200: $C_3^2.A_{10}.C_2$ x 4, $(C_3\times S_3).A_{10}$ x 2, $C_3:S_3.A_{10}$, $C_3.A_9.A_5$, $(C_3\times A_5).A_9$ |
| Order 31104000: $A_5.A_6^2.C_4$ x 2, $A_5.A_6^2.C_2^2$ x 2, $A_6.A_6.S_5.C_2$, $A_5.A_6.A_6.C_2^2$, $A_5^3.(S_3\times S_4)$ |
| Order 30481920: $A_9\times \PSL(2,7)$ x 2, $A_9\times F_8:C_3$, $A_8\times \SL(2,8).C_3$ |
| Order 29859840: $C_2^6.C_3^3.S_4.A_6.C_2$ |
| Order 29393280: $C_3\wr C_3.A_9.C_2$ x 2, $C_3\wr C_3:C_2.A_9$ |
| Order 29030400: $C_2^3.A_{10}.C_2$ x 8, $(C_2\times C_4).A_{10}.C_2$ x 8, $C_2.A_8.A_6.C_2$ x 6, $S_{10}\times D_4$ x 4, $C_2^2:C_4.A_{10}$ x 3, $A_4.A_5.A_8.C_2$ x 3, $(C_2\times D_4).A_{10}$ x 3, $A_4.A_8.S_5$ x 2, $S_6\times S_8$ x 2, $Q_8.A_{10}.C_2$, $D_4:C_2.A_{10}$, $D_4.A_{10}.C_2$, $C_2^4.A_{10}$, $C_2^3\times S_{10}$, $C_2^2:F_5.A_9.C_2$, $C_2^2.A_8.A_6$, $A_6.A_8.C_2^2$, $A_4.A_8.A_5.C_2$, $(S_3\times A_5).A_8.C_2^2$ |
| Order 27216000: $C_{15}.A_{10}$ |
| Order 27095040: $C_2^3.\PSL(2,7)\times A_8$ |
| Order 26127360: $C_3:S_4.A_9.C_2$ x 4, $(S_3\times A_4).A_9.C_2$ x 4, $(C_3\times S_4).A_9.C_2$ x 4, $\PSU(3,2).A_9.C_2$, $S_3\times S_4\times A_9$, $C_3^3.S_4.A_8.C_2$, $A_4^2.A_9$, $(S_3\times S_4).A_9$, $S_9\times \SOPlus(4,2)$ |
| Order 25401600: $C_2.A_7.A_7.C_2$ x 4, $S_7^2$ x 2, $A_7^2.C_2^2$ x 2, $A_7^2.C_4$ x 2, $C_7.A_{10}.C_2$, $C_2^2.A_7.A_7$, $A_7^2.C_2^2$, $A_7^2.C_4$ |
| Order 24883200: $S_4.A_6^2.D_4$ x 2 |
| Order 24192000: $D_5.A_5.A_8.C_2$ x 3 |
| Order 23224320: $A_4^2.C_2^2.A_8.C_2$ x 5, $A_4^2.C_4.A_8.C_2$ x 2, $C_2\wr C_2^2.A_9.C_2$, $A_4^2.D_4.A_8$ |
| Order 21772800: $S_3\times S_{10}$ x 6, $A_4\times A_{10}$ x 4, $A_4.A_6.A_7.C_2$ x 3, $C_6.S_{10}$ x 3, $A_5.S_9$ x 3, $(C_5\times A_4).A_9.C_2$ x 2, $D_6.A_{10}$ x 2, $C_6\times S_{10}$ x 2, $A_5\times S_9$ x 2, $S_5\times A_9$ x 2, $S_3.A_6.A_7.C_2^2$, $C_6.A_{10}.C_2$, $C_3:S_3.C_2.A_7.S_5.C_2$, $C_3:F_5.A_9.C_2$, $C_3:C_4.A_{10}$, $C_3.A_8.A_6$, $C_2.A_9.A_5$, $(D_5\times A_4).A_9$, $(C_2\times C_6).A_{10}$ |
| Order 20736000: $A_6.A_5^2.C_2^3.C_2$ |
| Order 20321280: $(C_3\times \PSL(2,7)).A_8.C_2$, $(C_2^2\times C_6).\PSL(2,7).A_7.C_2$ |
| Order 19958400: $M_{11}\times A_7$, $A_{11}$ |
| Order 19595520: $(C_3\times C_3:S_3).A_9.C_2$ x 6, $C_3^3:C_2^2.A_9$ x 2, $\He_3:C_2.A_9.C_2$, $C_3\times C_3:S_3.C_2.A_9$ |
| Order 19353600: $C_2^4.A_8.A_5$, $C_2^3.\PSL(2,7)\times A_5^2.C_4$, $C_2^2.A_8.S_5.C_2$, $(C_2^2\times A_5).A_8.C_2^2$ |
| Order 19051200: $C_3.A_7.A_7$ |
| Order 18662400: $C_3:S_3.A_6^2.D_4$ x 2, $A_6^2.S_3^2:C_4$ x 2, $C_3:S_3.C_2.A_6^2.C_4$, $C_3:S_3.C_2.A_6^2.C_2^2$, $C_3:S_3.C_2.A_6.A_6.C_2^2$ |
| Order 18144000: $D_5.A_6.A_7.C_2$ x 3, $A_5.A_7.S_5$ x 2, $A_7.A_5^2.C_2$, $A_7.A_5.S_5$, $A_7.A_5.A_5.C_2$, $A_5.A_7.A_5.C_2$, $D_5\times A_{10}$, $C_5\times S_{10}$, $C_5.S_{10}$ |
| Order 17418240: $A_4:S_3^2.A_8.C_2$ x 4, $C_2^2:S_4.A_9$ x 2, $A_4:C_4.A_9.C_2$ x 2, $(C_2^2\times A_4).A_9.C_2$ x 2, $(A_4\times C_3:S_3.C_2).A_8.C_2$ x 2, $C_2\times S_4\times S_9$ x 2, $\GL(2,\mathbb{Z}/4).A_9$, $C_6^2.D_{12}.A_8$, $C_2^3:A_4.A_9$, $C_2^2\wr C_2:C_3.A_9$, $A_4^2.D_6.C_2.A_7.C_2$, $(S_3\times D_4).A_9.C_2$, $(C_2\times S_4).A_9.C_2$ |
| Order 16796160: $C_3^6.(C_2^5.S_6)$ |
| Order 16588800: $C_2^5.A_6.A_6.C_2^2$, $A_4^2.C_2^2.A_5^2.D_4$ |
| Order 16329600: $C_3^2.A_{10}$ |
| Order 16128000: $D_5^2.C_4.A_8.C_2$ |
| Order 15552000: $A_6^2.C_2\times A_5$ x 2, $A_5.A_6.A_6.C_2$ x 2, $A_6.A_6.S_5$, $A_6.A_6.A_5.C_2$, $C_3.S_5\wr C_3$, $A_5^3.C_3:S_4$, $A_5^3.(C_3\times S_4)$ |
| Order 15482880: $C_2^3:S_4.C_2.A_8.C_2$ |
| Order 15240960: $F_7.A_9.C_2$ |
| Order 14929920: $C_2^6.C_3^3.A_4.A_6.C_2$ x 2, $C_2^6.C_3^3.S_4.A_6$ |
| Order 14696640: $C_3\wr C_3.A_9$ |
| Order 14515200: $C_2^2.S_{10}$ x 7, $C_2^2\times S_{10}$ x 6, $C_2^3.A_{10}$ x 4, $(C_3\times A_5).A_8.C_2^2$ x 4, $(C_2\times F_5).A_9.C_2$ x 4, $A_{10}\times D_4$ x 4, $(S_3\times A_5).A_8.C_2$ x 3, $(C_2\times C_4).A_{10}$ x 3, $A_6.S_8$ x 3, $C_4.S_{10}$ x 3, $C_2^2.A_{10}.C_2$ x 2, $A_6.A_8.C_2$ x 2, $(C_2^2\times D_5).A_9.C_2$ x 2, $C_4\times S_{10}$ x 2, $S_4.A_7.S_5.C_2$, $S_4.A_7.A_5.C_2^2$, $Q_8.A_{10}$, $C_4.A_{10}.C_2$, $C_3.A_8.S_5.C_2$, $C_2^2:F_5.A_9$, $C_2^2.A_6.A_7.C_2^2$, $C_2.A_8.A_6$, $A_4.A_8.A_5$, $A_4.A_5.A_8$, $A_6\times S_8$, $S_6\times A_8$ |
| Order 13547520: $\PSL(2,7).A_8.C_2^2$ |
| Order 13063680: $(C_3\times A_4).A_9.C_2$ x 8, $S_9\times S_3^2$ x 3, $C_3^3:C_2^2:C_3.A_8.C_2$ x 2, $C_3:S_4.A_9$ x 2, $(S_3\times A_4).A_9$ x 2, $(C_3\times S_4).A_9$ x 2, $A_9.\SOPlus(4,2)$ x 2, $S_3^2.S_9$ x 2, $\PSU(3,2).A_9$, $C_3^3.S_4.A_8$, $C_3:S_3.C_2.A_9.C_2$, $A_9\times S_3\wr C_2$, $C_3^2.(C_4\times S_9)$ |
| Order 12902400: $C_2^4:C_5:C_4.A_8.C_2$ |
| Order 12700800: $A_7.S_7$ x 2, $C_7\times A_{10}$, $C_2.A_7.A_7$, $A_7\times S_7$, $A_7\wr C_2$ |
| Order 12441600: $A_4.A_6^2.D_4$ x 8, $S_4.A_6^2.C_4$ x 2, $S_4.A_6^2.C_2^2$ x 2, $S_4.A_6.A_6.C_2^2$ x 2 |
| Order 12096000: $(C_5\times A_5).A_8.C_2$ x 2, $D_5.A_5.A_8$ |
| Order 11612160: $\PSOPlusPlus(4,3).A_8.C_2$ x 6, $(A_4\times S_4).A_8.C_2$ x 6, $Q_8:C_2^2.A_9.C_2$ x 2, $C_2^2\wr C_2.A_9.C_2$ x 2, $C_2^2.D_4.A_9.C_2$ x 2, $A_4^2.C_2^2.A_8$ x 2, $A_4\wr C_2.A_8.C_2$ x 2, $C_2^2:S_3\wr C_2.A_8.C_2$, $C_2\wr C_2^2.A_9$, $A_4^2.C_4\times A_8$, $A_4^2.C_2^2\times A_8$, $(C_2^3\times A_4).A_6.\PSL(2,7).C_2$ |
| Order 11197440: $C_3^4.C_2^3.S_4.A_6.C_2$ |
| Order 10886400: $C_3.A_6.A_7.C_2^2$ x 4, $C_3.S_{10}$ x 4, $S_3.A_6.A_7.C_2$ x 3, $C_3:S_3.A_7.A_5.C_2^2$ x 3, $S_3\times A_{10}$ x 3, $C_3\times S_{10}$ x 3, $C_3:S_3.C_2.A_7.S_5$ x 2, $(C_3\times D_5).A_9.C_2$ x 2, $C_6\times A_{10}$ x 2, $A_5\times A_9$ x 2, $C_3:S_3.C_2.A_7.A_5.C_2$, $C_3:S_3.A_7.S_5.C_2$, $C_3:F_5\times A_9$, $A_4.A_6.A_7$, $(C_5\times A_4).A_9$ |
| Order 10368000: $A_6.A_5^2.D_4$ x 5, $D_5.A_6^2.D_4$, $A_6.A_5^2.C_4.C_2$, $A_6.A_5^2.C_2^3$, $A_5.A_5.A_6.C_2^3$, $(C_3\times A_5).A_5^2.D_4.C_2$, $S_5^3.S_3$ |
| Order 10321920: $C_2^8.S_8$ |
| Order 10160640: $\SL(2,8)\times A_8$, $F_8\times A_9$, $A_4.A_7.\PSL(2,7).C_2$, $(C_3\times \PSL(2,7)).A_8$, $(C_2^2\times C_6).\PSL(2,7).A_7$ |
| Order 9953280: $A_4^2.A_4.D_4.A_6.C_2$ |
| Order 9797760: $C_3^3.A_9.C_2$ x 3, $\He_3.A_9.C_2$ x 2, $(C_3\times C_3:S_3).A_9$ x 2, $\He_3:C_2.A_9$, $D_9:C_3.A_9$ |
| Order 9676800: $C_2.A_8.A_5.C_2^2$ x 3, $(C_2^2\times A_5).A_8.C_2$ x 3, $(C_2\times A_5).A_8.C_2^2$ x 3, $C_2^2.A_8.S_5$ x 2, $C_2\times S_5\times S_8$ x 2, $C_2^4.A_7.S_5.C_2$, $C_2^3.\PSL(2,7).A_5.S_5$, $C_2^2.A_8.A_5.C_2$, $A_4:F_5.A_8.C_2$ |
| Order 32768: $C_4^4.C_2\wr D_4$ |
| Order 6561: $C_3^4.C_3^4$ |
| Order 2448: $\PSL(2,17)$ |
| Order 125: $C_5^3$ |
| Order 49: $C_7^2$ |
| Order 17: $C_{17}$ |
| Order 13: $C_{13}$ |
| Order 11: $C_{11}$ |
| Order 1: $C_1$ |
