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Parity Cyclic Solvable Primitive Equivalent siblings
Degree $T$-number Order Group Nilpotency class
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Results (1-50 of 72 matches)

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Label Name Order Parity Solvable Subfields Low Degree Siblings
37T10 $A_{37}$ $6881876545613172523157989790790451200000000$ $1$
37T11 $S_{37}$ $13763753091226345046315979581580902400000000$ $-1$
38T33 $\PSL(2,37)$ $25308$ $1$
38T41 $\PGL(2,37)$ $50616$ $-1$
38T63 $C_2.A_{19}$ $121645100408832000$ $-1$ $C_2$, $A_{19}$
38T64 $S_{19}$ $121645100408832000$ $-1$ $C_2$, $S_{19}$ 19T8
38T65 $C_2.S_{19}$ $243290200817664000$ $-1$ $C_2$, $S_{19}$ 38T65
38T66 $C_2^{18}.A_{19}$ $15944266600786427904000$ $1$ $A_{19}$
38T67 $C_2^{19}.A_{19}$ $31888533201572855808000$ $-1$ $A_{19}$
38T68 $C_2^{18}.A_{19}.C_2$ $31888533201572855808000$ $-1$ $S_{19}$ 38T69
38T69 $C_2^{18}.A_{19}.C_2$ $31888533201572855808000$ $1$ $S_{19}$ 38T68
38T70 $C_2^{19}.A_{19}.C_2$ $63777066403145711616000$ $-1$ $S_{19}$ 38T70
38T71 $A_{19}^2.C_2$ $7398765226737409606771802112000000$ $-1$ $C_2$
38T72 $A_{19}^2.C_4$ $14797530453474819213543604224000000$ $1$ $C_2$
38T73 $A_{19}^2.C_2^2$ $14797530453474819213543604224000000$ $-1$ $C_2$
38T74 $A_{19}^2.D_4$ $29595060906949638427087208448000000$ $-1$ $C_2$
38T75 $A_{38}$ $261511308733300555880003612050037145600000000$ $1$
38T76 $S_{38}$ $523022617466601111760007224100074291200000000$ $-1$
39T43 $\PSL(3,3)$ $5616$ $1$ $\PSL(3,3)$ 13T7 x 2, 26T39 x 2, 39T43
39T55 $C_3\times \SL(3,3)$ $16848$ $1$ $C_3$, $\PSL(3,3)$ 39T55
39T72 $S_3\times \SL(3,3)$ $33696$ $-1$ $S_3$, $\PSL(3,3)$ 39T72
39T111 $C_3^3.\SL(3,3)$ $151632$ $1$ $\PSL(3,3)$ 27T1426, 39T112 x 2
39T112 $C_3^3.\SL(3,3)$ $151632$ $1$ $\PSL(3,3)$ 27T1426, 39T111, 39T112
39T134 $C_3^3:\GL(3,3)$ $303264$ $-1$ $\PSL(3,3)$ 27T1547
39T198 $C_3^6:\SL(3,3)$ $4094064$ $1$ $\PSL(3,3)$
39T206 $C_3^6.\GL(3,3)$ $8188128$ $-1$ $\PSL(3,3)$
39T210 $C_3^7.\SL(3,3)$ $12282192$ $1$ $\PSL(3,3)$ 39T210
39T218 $C_3^7.\GL(3,3)$ $24564384$ $-1$ $\PSL(3,3)$ 39T218
39T246 $C_3^{10}.\PSL(3,3)$ $331619184$ $1$ $\PSL(3,3)$ 39T246 x 2
39T248 $C_3^{10}.C_2.\PSL(3,3)$ $663238368$ $-1$ $\PSL(3,3)$
39T249 $C_3^{12}.\PSL(3,3)$ $2984572656$ $1$ $\PSL(3,3)$
39T250 $C_3^{12}.C_2.\PSL(3,3)$ $5969145312$ $-1$ $\PSL(3,3)$
39T251 $C_3^{13}.\PSL(3,3)$ $8953717968$ $1$ $\PSL(3,3)$ 39T251 x 2
39T252 $C_3^{13}.\PSL(3,3)$ $8953717968$ $1$ $\PSL(3,3)$ 39T252
39T253 $C_3\times A_{13}$ $9340531200$ $1$ $C_3$, $A_{13}$
39T254 $C_3^{13}.C_2.\PSL(3,3)$ $17907435936$ $-1$ $\PSL(3,3)$
39T255 $C_3^{12}.\PSL(3,3).S_3$ $17907435936$ $-1$ $\PSL(3,3)$ 39T255
39T256 $A_{13}\times S_3$ $18681062400$ $-1$ $S_3$, $A_{13}$
39T257 $C_3.S_{13}$ $18681062400$ $1$ $S_3$, $S_{13}$
39T258 $C_3.S_{13}$ $18681062400$ $-1$ $C_3$, $S_{13}$
39T259 $S_3\times S_{13}$ $37362124800$ $-1$ $S_3$, $S_{13}$
39T271 $\PSL(3,3)\wr C_3$ $531376754688$ $1$ $C_3$ 39T271
39T276 $\PSL(3,3)\wr S_3$ $1062753509376$ $-1$ $S_3$ 39T276
39T278 $C_3^{13}.C_2^{12}.\PSL(3,3)$ $36674428796928$ $1$ $\PSL(3,3)$
39T279 $C_3^{13}.C_2.C_2^{12}.\PSL(3,3)$ $73348857593856$ $-1$ $\PSL(3,3)$
39T280 $C_3^{12}.A_{13}$ $1654647080486400$ $1$ $A_{13}$
39T281 $C_3^{12}.A_{13}.C_2$ $3309294160972800$ $-1$ $A_{13}$
39T282 $C_3^{12}.A_{13}.C_2$ $3309294160972800$ $1$ $S_{13}$
39T283 $C_3^{12}.A_{13}.C_2$ $3309294160972800$ $-1$ $S_{13}$
39T284 $C_3^{13}.A_{13}$ $4963941241459200$ $1$ $A_{13}$ 39T284
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Results are complete for degrees $\leq 23$.