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Transitive Groups of Degree 9

  name size 1 3 5 7 9
9T1 C(9) = 9 9 -- -- -- -- 16983563041
9T2 E(9) = 3[x]3 9 -- -- -- -- 62523502209
9T3 D(9) = 9 : 2 18 775511104 -- -- -- 1624709678881
9T4 S(3)[x]3 18 -- -203297472 -- -- 17515230173
9T5 S(3)[1/2]S(3) = 32 : 2 18 24794911296 -- -- -- 6938632771983936
9T6 1/3[33]3 27 -- -- -- -- 164648481361
9T7 E(9) : 3 = [32]3 27 -- -- -- -- 5609891727441
9T8 S(3)[x]S(3) = E(9) : D4 36 362467097 -3539149227 -- -- 3340021539392
9T9 E(9) : 4 36 493455671296 -- -- -- 1870004703089601
9T10 [32]S(3)6 54 671898241 -- -- -- 62526089134336
9T11 E(9) : 6 = 1/2[32 : 2]S(3) 54 31381059609 -- -- -- 2917096519063104
9T12 [32]S(3) 54 -- -357366875 -- -- 32795655776729
9T13 E(9) : D6 = [32 : 2]3 = [1/2.S(3)2]3 54 -- -2315685267 -- -- 574470067776192
9T14 M(9) = E(9) : Q8 72 990677827584 -- -- -- 3496747289987252224
9T15 E(9) : 8 72 218070794717793 -- -- -- 17832200896512000000
9T16 E(9) : D8 72 467288576 -2191933899 -- -- 1128762254528
9T17 [33]3 = 3wr3 81 -- -- -- -- 36763077169
9T18 E(9) : D12 = [32 : 2]S(3) = [1/2.S(3)2]S(3) 108 239483061 -2785366143 -- -- 220521111330816
9T19 E(9) : 2D8 144 419853238272 -204128387072 -- -- 51032096768000000
9T20 [33]S(3) = 3wrS(3) 162 -- -110852311 -- -- 16440305941
9T21 1/2.[33 : 2]S(3) 162 846519025 -- -- -- 10438327105600
9T22 [33 : 2]3 162 -- -1272491584 -- -- 13632439166829
9T23 E(9) : 2A4 216 89526025681 -- -- -- 754169853931401428161
9T24 [33 : 2]S(3) 324 449728821 -18844249600 -- -- 92322657333125
9T25 [1/2.S(3)3]3 324 -- -- 9829532736 -- 26552265046321
9T26 E(9) : 2S4 432 2751651100197 -9155562688 -- -- 262284245009280000
9T27 L(9) = PSL(2, 8) 504 79082438656 -- -- -- 38 digits
9T28 [S(3)3]3 = S(3)wr3 648 -- -164590951 467890073 -6221161471 16240385609
9T29 [1/2.S(3)3]S(3) 648 -- -562419575 34373550825 -- 1789291325044
9T30 1/2[S(3)3]S(3) 648 33860761 -- 11994630400 -- 29824410535929
9T31 [S(3)3]S(3) = S(3)wrS(3) 1296 32206049 -180181103 2570741056 -31584907456 53038958912
9T32 L(9) : 3 = P| L(2, 8) 1512 72313663744 -- -- -- 39 digits
9T33 A9 181440 92371321 -- 3200504329 -- 11729467378561
9T34 S9 362880 29510281 -109880167 453771377 -2307632671 9685993193


Subsections
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Next: Transitive Group 9T1 Up: A Database for Number Previous: Transitive Group 8T50
Jürgen Klüners and Gunter Malle