Sporadic Group - Table of The Sporadic Group Orders

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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