Table of The Sporadic Group Orders
| Group | Order (sequence A001228 in OEIS) | 1SF | Factorized order |
|---|---|---|---|
| F1 or M | 808017424794512875886459904961710757005754368000000000 | ≈ 8×1053 | 246 · 320 · 59 · 76 · 112 · 133 · 17 · 19 · 23 · 29 · 31 · 41 · 47 · 59 · 71 |
| F2 or B | 4154781481226426191177580544000000 | ≈ 4×1033 | 241 · 313 · 56 · 72 · 11 · 13 · 17 · 19 · 23 · 31 · 47 |
| Fi24' or F3+ | 1255205709190661721292800 | ≈ 1×1024 | 221 · 316 · 52 · 73 · 11 · 13 · 17 · 23 · 29 |
| Fi23 | 4089470473293004800 | ≈ 4×1018 | 218 · 313 · 52 · 7 · 11 · 13 · 17 · 23 |
| Fi22 | 64561751654400 | ≈ 6×1013 | 217 · 39 · 52 · 7 · 11 · 13 |
| F3 or Th | 90745943887872000 | ≈ 9×1016 | 215 · 310 · 53 · 72 · 13 · 19 · 31 |
| Ly | 51765179004000000 | ≈ 5×1016 | 28 · 37 · 56 · 7 · 11 · 31 · 37 · 67 |
| F5 or HN | 273030912000000 | ≈ 3×1014 | 214 · 36 · 56 · 7 · 11 · 19 |
| Co1 | 4157776806543360000 | ≈ 4×1018 | 221 · 39 · 54 · 72 · 11 · 13 · 23 |
| Co2 | 42305421312000 | ≈ 4×1013 | 218 · 36 · 53 · 7 · 11 · 23 |
| Co3 | 495766656000 | ≈ 5×1011 | 210 · 37 · 53 · 7 · 11 · 23 |
| O'N | 460815505920 | ≈ 5×1011 | 29 · 34 · 5 · 73 · 11 · 19 · 31 |
| Suz | 448345497600 | ≈ 4×1011 | 213 · 37 · 52 · 7 · 11 · 13 |
| Ru | 145926144000 | ≈ 1×1011 | 214 · 33 · 53 · 7 · 13 · 29 |
| He | 4030387200 | ≈ 4×109 | 210 · 33 · 52 · 73 · 17 |
| McL | 898128000 | ≈ 9×108 | 27 · 36 · 53 · 7 · 11 |
| HS | 44352000 | ≈ 4×107 | 29 · 32 · 53 · 7 · 11 |
| J4 | 86775571046077562880 | ≈ 9×1019 | 221 · 33 · 5 · 7 · 113 · 23 · 29 · 31 · 37 · 43 |
| J3 or HJM | 50232960 | ≈ 5×107 | 27 · 35 · 5 · 17 · 19 |
| J2 or HJ | 604800 | ≈ 6×105 | 27 · 33 · 52 · 7 |
| J1 | 175560 | ≈ 2×105 | 23 · 3 · 5 · 7 · 11 · 19 |
| M24 | 244823040 | ≈ 2×108 | 210 · 33 · 5 · 7 · 11 · 23 |
| M23 | 10200960 | ≈ 1×107 | 27 · 32 · 5 · 7 · 11 · 23 |
| M22 | 443520 | ≈ 4×105 | 27 · 32 · 5 · 7 · 11 |
| M12 | 95040 | ≈ 1×105 | 26 · 33 · 5 · 11 |
| M11 | 7920 | ≈ 8×103 | 24 · 32 · 5 · 11 |
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