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Transitive Groups of Degree 10

  name size 0 2 4 6 8 10
10T1 C(10) = 5[x]2 10 -2357947691 -- -- -- -- 572981288913
10T2 D(10) = 5 : 2 10 -229345007 -- -- -- -- 10368641602001
10T3 D10(10) = [D(5)]2 20 -1185762483 3409076657 -- -- -- 80803005003125
10T4 1/2[F(5)]2 20 -- 12500000000 -- -- -- 30012500000000
10T5 F(5)[x]2 40 -5865429267 320000000000 -- -- -- 379753870426112
10T6 [52]2 50 -246071287 -- -- -- -- 6194123253125
10T7 A5(10) 60 -- 82538991616 -- -- -- 960472390437121
10T8 [24]5 80 -- 113395848049 -- 113395848049 -- 116117348402176
10T9 [1/2.D(5)2]2 100 -6582258418359375 109853253125 -- -- -- 249828821987576832
10T10 1/2[D(5)2]2 100 -- 292820000000 -- -- -- 322143585205078125
10T11 A(5)[x]2 120 -5473632256 24657753125 -- -- -- 582252685003125
10T12 1/2[S(5)]2 = S5(10a) 120 -64248054784 131220000000 -- -- -- 1341649635419392
10T13 S5(10d ) 120 -- 4165509529 -72758649087 -- -- 14202376626313
10T14 [25]5 160 -311034736331 19077940409 -4930254263 23365118029 -70952789611 617567936161
10T15 [24]D(5) 160 -- 4996793344 -- 232712654409 -- 116071900626889
10T16 1/2[25]D(5) 160 -5733625175 93317774418009 -- 10368641602001 -- 2996537422978289
10T17 [52 : 4]2 200 -2626093750000 1229312000000 -- -- -- 43789058048000000
10T18 [52 : 4]22 200 -- 68122631259765625 -- -- -- 6105273987852349696
10T19 [52 : 42]2 200 -3428696723823 8012167578125 -- -- -- 452563285156250000
10T20 [52 : 42]22 200 -- 98101701371953125 -- -- -- 320870687440896000000
10T21 [D(5)2]2 200 -593019904 1128753125 -- 34424253125 -- 3256446753125
10T22 S(5)[x]2 240 -306454347 887778125 -- 44707018837 -- 1832697153125
10T23 [25]D(5) 320 -405013523 941778433 -77570884803 336140500813 -698137963227 10265213755597
10T24 [24]F(5) 320 -- 316329754624 -- 24010000000000 -- 23241017135202304
10T25 1/2[25]F(5) 320 -- 257017925632 -- 120050000000000 -- 26021834604412928
10T26 L(10) = PSL(2, 9) 360 -- 11284439629824 -- -- -- 30406182484030096384
10T27 [1/2.F(5)2]2 400 -112960521216 2367488000000 -- 15680000000000 -- 728703488000000
10T28 1/2[F(5)2]2 400 -- 640000000000 -- 111236572265625 -- 3399254384765625
10T29 [25]F(5) 640 -38305556224 50662187264 -17022229347072 28370382245120 -107807452531456 582242500000000
10T30 L(10) : 2 = PGL(2, 9) 720 -35664401793024 55267035185152 -- -- -- 314547523847251622760448000000
10T31 M(10) = L(10)'2 720 -- 268435456000000 -- -- -- 85676618026635934040064
10T32 S6(10) = L(10) : 2 720 -- 197544116224 -1508214295232 -- -- 525501674708224
10T33 [F(5)2]2 800 -80561164032 1852746653125 -- 9932496465625 -- 277597456433152
10T34 [24]A(5) 960 -- 21894529024 -- 49241109874401 -- 152779290393664
10T35 L(10).22 = P| L(2, 9) 1440 -7522959753216 24207794634752 -163840000000000 -- -- 39731038289582358528
10T36 [25]A(5) 1920 -14710386688 15052488704 -28916443100208 163859844234512 -147723329623203 1107649855354064
10T37 [24]S(5) 1920 -- 836077225 -- 20837499904 -- 1363999753216
10T38 1/2[25]S(5) 1920 -72758649087 5441006848 -50150374144 14202376626313 -- 616133159929744
10T39 [25]S(5) 3840 -209352647 799905449 -3120654523 15417264029 -97939335863 443952558373
10T40 [A(5)2]2 7200 -12759961600 6652128125 -- 38998285028352 -- 51717300078125
10T41 [1/2.S(5)2]2 = [A(5) : 2]2 14400 -16691899392 25347200000 -- 925322313728 -- 109268775200000
10T42 1/2[S(5)2]2 14400 -- 1665712890625 -- 625878765625 -- 207699287474176
10T43 [S(5)2]2 28800 -216670707 875003125 -3830871875 34582278125 -356621721875 911025153125
10T44 A10 1814400 -- 1844444809 -- 51471358129 -- 6645000909765625
10T45 S10 3628800 -236438047 802448461 -3316535227 19388527573 -94822656283 513087549389


Subsections
next up previous
Next: Transitive Group 10T1 Up: A Database for Number Previous: Transitive Group 9T34
Jürgen Klüners and Gunter Malle