| Label |
Name |
Family name |
Order |
Exponent |
Nilp. class |
Der. length |
Comp. length |
Rank |
$\card{\mathrm{conj}(G)}$ |
Subgroups |
Subgroup classes |
Normal subgroups |
Center |
Central quotient |
Commutator |
Abelianization |
$\card{\mathrm{Aut}(G)}$ |
$\card{\mathrm{Out}(G)}$ |
Tr. deg |
Perm. deg |
$\C$-irrep deg |
$\R$-irrep deg |
$\Q$-irrep deg |
$\C$-rep deg |
$\R$-rep deg |
$\Q$-rep deg |
Type - length |
| 6.1 |
$S_3$ |
$\SL(2,2)$ |
$2 \cdot 3$ |
$2 \cdot 3$ |
$-1$ |
$2$ |
$2$ |
$2$ |
3 |
$6$ |
$4$ |
$3$ |
$C_1$ |
$S_3$ |
$C_3$ |
$C_{2}$ |
$2 \cdot 3$ |
$1$ |
$3$ |
$3$ |
$2$ |
$2$ |
$2$ |
$2$ |
$2$ |
$2$ |
Solvable - 2 |
| 24.3 |
$\SL(2,3)$ |
$\SL(2,3)$ |
$2^{3} \cdot 3$ |
$2^{2} \cdot 3$ |
$-1$ |
$3$ |
$4$ |
$2$ |
7 |
$15$ |
$7$ |
$4$ |
$C_2$ |
$A_4$ |
$Q_8$ |
$C_{3}$ |
$2^{3} \cdot 3$ |
$2$ |
$8$ |
$8$ |
$2$ |
$4$ |
$4$ |
$2$ |
$4$ |
$4$ |
Solvable - 3 |
| 60.5 |
$A_5$ |
$\SL(2,4)$ |
$2^{2} \cdot 3 \cdot 5$ |
$2 \cdot 3 \cdot 5$ |
$-1$ |
$0$ |
$1$ |
$2$ |
5 |
$59$ |
$9$ |
$2$ |
$C_1$ |
$A_5$ |
$A_5$ |
$C_1$ |
$2^{3} \cdot 3 \cdot 5$ |
$2$ |
$5$ |
$5$ |
$3$ |
$3$ |
$4$ |
$3$ |
$3$ |
$4$ |
Simple |
| 120.5 |
$\SL(2,5)$ |
$\SL(2,5)$ |
$2^{3} \cdot 3 \cdot 5$ |
$2^{2} \cdot 3 \cdot 5$ |
$-1$ |
$0$ |
$2$ |
$2$ |
9 |
$76$ |
$12$ |
$3$ |
$C_2$ |
$A_5$ |
$\SL(2,5)$ |
$C_1$ |
$2^{3} \cdot 3 \cdot 5$ |
$2$ |
$24$ |
$24$ |
$2$ |
$4$ |
$8$ |
$2$ |
$4$ |
$8$ |
Non-Solvable - 2 |
| 168.42 |
$\PSL(2,7)$ |
$\SL(3,2)$ |
$2^{3} \cdot 3 \cdot 7$ |
$2^{2} \cdot 3 \cdot 7$ |
$-1$ |
$0$ |
$1$ |
$2$ |
6 |
$179$ |
$15$ |
$2$ |
$C_1$ |
$\PSL(2,7)$ |
$\PSL(2,7)$ |
$C_1$ |
$2^{4} \cdot 3 \cdot 7$ |
$2$ |
$7$ |
$7$ |
$3$ |
$6$ |
$6$ |
$3$ |
$6$ |
$6$ |
Simple |
| 336.114 |
$\SL(2,7)$ |
$\SL(2,7)$ |
$2^{4} \cdot 3 \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$0$ |
$2$ |
$2$ |
11 |
$224$ |
$19$ |
$3$ |
$C_2$ |
$\PSL(2,7)$ |
$\SL(2,7)$ |
$C_1$ |
$2^{4} \cdot 3 \cdot 7$ |
$2$ |
$16$ |
$16$ |
$4$ |
$8$ |
$8$ |
$4$ |
$8$ |
$8$ |
Non-Solvable - 2 |
| 504.156 |
$\SL(2,8)$ |
$\SL(2,8)$ |
$2^{3} \cdot 3^{2} \cdot 7$ |
$2 \cdot 3^{2} \cdot 7$ |
$-1$ |
$0$ |
$1$ |
$2$ |
9 |
$386$ |
$12$ |
$2$ |
$C_1$ |
$\SL(2,8)$ |
$\SL(2,8)$ |
$C_1$ |
$2^{3} \cdot 3^{3} \cdot 7$ |
$3$ |
$9$ |
$9$ |
$7$ |
$7$ |
$7$ |
$7$ |
$7$ |
$7$ |
Simple |
| 720.409 |
$\SL(2,9)$ |
$\SL(2,9)$ |
$2^{4} \cdot 3^{2} \cdot 5$ |
$2^{3} \cdot 3 \cdot 5$ |
$-1$ |
$0$ |
$2$ |
$2$ |
13 |
$588$ |
$27$ |
$3$ |
$C_2$ |
$A_6$ |
$\SL(2,9)$ |
$C_1$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{2}$ |
$80$ |
$80$ |
$4$ |
$8$ |
$8$ |
$4$ |
$8$ |
$8$ |
Non-Solvable - 2 |
| 1320.13 |
$\SL(2,11)$ |
$\SL(2,11)$ |
$2^{3} \cdot 3 \cdot 5 \cdot 11$ |
$2^{2} \cdot 3 \cdot 5 \cdot 11$ |
$-1$ |
$0$ |
$2$ |
$2$ |
15 |
$766$ |
$21$ |
$3$ |
$C_2$ |
$\PSL(2,11)$ |
$\SL(2,11)$ |
$C_1$ |
$2^{3} \cdot 3 \cdot 5 \cdot 11$ |
$2$ |
$24$ |
$24$ |
$6$ |
$12$ |
$12$ |
$6$ |
$12$ |
$12$ |
Non-Solvable - 2 |
| 2184.a |
$\SL(2,13)$ |
$\SL(2,13)$ |
$2^{3} \cdot 3 \cdot 7 \cdot 13$ |
$2^{2} \cdot 3 \cdot 7 \cdot 13$ |
$-1$ |
$0$ |
$2$ |
$2$ |
17 |
|
|
|
$C_2$ |
$\PSL(2,13)$ |
$\SL(2,13)$ |
$C_1$ |
$2^{3} \cdot 3 \cdot 7 \cdot 13$ |
$2$ |
|
$56$ |
$6$ |
$12$ |
$24$ |
? |
? |
? |
Non-Solvable - 2 |
| 4080.a |
$\SL(2,16)$ |
$\SL(2,16)$ |
$2^{4} \cdot 3 \cdot 5 \cdot 17$ |
$2 \cdot 3 \cdot 5 \cdot 17$ |
$-1$ |
$0$ |
$1$ |
$2$ |
17 |
$3455$ |
$21$ |
$2$ |
$C_1$ |
$\SL(2,16)$ |
$\SL(2,16)$ |
$C_1$ |
$2^{6} \cdot 3 \cdot 5 \cdot 17$ |
$2^{2}$ |
$17$ |
$17$ |
$15$ |
$15$ |
$16$ |
$15$ |
$15$ |
$16$ |
Simple |
| 4896.a |
$\SL(2,17)$ |
$\SL(2,17)$ |
$2^{5} \cdot 3^{2} \cdot 17$ |
$2^{4} \cdot 3^{2} \cdot 17$ |
$-1$ |
$0$ |
$2$ |
$2$ |
21 |
|
|
|
$C_2$ |
$\PSL(2,17)$ |
$\SL(2,17)$ |
$C_1$ |
$2^{5} \cdot 3^{2} \cdot 17$ |
$2$ |
|
$288$ |
$8$ |
$16$ |
$32$ |
? |
? |
? |
Non-Solvable - 2 |
| 5616.a |
$\SL(3,3)$ |
$\SL(3,3)$ |
$2^{4} \cdot 3^{3} \cdot 13$ |
$2^{3} \cdot 3 \cdot 13$ |
$-1$ |
$0$ |
$1$ |
$2$ |
12 |
$6374$ |
$51$ |
$2$ |
$C_1$ |
$\SL(3,3)$ |
$\SL(3,3)$ |
$C_1$ |
$2^{5} \cdot 3^{3} \cdot 13$ |
$2$ |
$13$ |
$13$ |
$12$ |
$12$ |
$12$ |
$12$ |
$12$ |
$12$ |
Simple |
| 6840.a |
$\SL(2,19)$ |
$\SL(2,19)$ |
$2^{3} \cdot 3^{2} \cdot 5 \cdot 19$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 19$ |
$-1$ |
$0$ |
$2$ |
$2$ |
23 |
|
|
|
$C_2$ |
$\PSL(2,19)$ |
$\SL(2,19)$ |
$C_1$ |
$2^{3} \cdot 3^{2} \cdot 5 \cdot 19$ |
$2$ |
|
$40$ |
$10$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 12144.a |
$\SL(2,23)$ |
$\SL(2,23)$ |
$2^{4} \cdot 3 \cdot 11 \cdot 23$ |
$2^{3} \cdot 3 \cdot 11 \cdot 23$ |
$-1$ |
$0$ |
$2$ |
$2$ |
27 |
|
|
|
$C_2$ |
$\PSL(2,23)$ |
$\SL(2,23)$ |
$C_1$ |
$2^{4} \cdot 3 \cdot 11 \cdot 23$ |
$2$ |
|
$48$ |
$12$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 15600.a |
$\SL(2,25)$ |
$\SL(2,25)$ |
$2^{4} \cdot 3 \cdot 5^{2} \cdot 13$ |
$2^{3} \cdot 3 \cdot 5 \cdot 13$ |
$-1$ |
$0$ |
$2$ |
$2$ |
29 |
|
|
|
$C_2$ |
$\PSL(2,25)$ |
$\SL(2,25)$ |
$C_1$ |
$2^{5} \cdot 3 \cdot 5^{2} \cdot 13$ |
$2^{2}$ |
|
$208$ |
$12$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 19656.a |
$\SL(2,27)$ |
$\SL(2,27)$ |
$2^{3} \cdot 3^{3} \cdot 7 \cdot 13$ |
$2^{2} \cdot 3 \cdot 7 \cdot 13$ |
$-1$ |
$0$ |
$2$ |
$2$ |
31 |
|
|
|
$C_2$ |
$\PSL(2,27)$ |
$\SL(2,27)$ |
$C_1$ |
$2^{3} \cdot 3^{4} \cdot 7 \cdot 13$ |
$2 \cdot 3$ |
|
$56$ |
$14$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 20160.a |
$A_8$ |
$\SL(4,2)$ |
$2^{6} \cdot 3^{2} \cdot 5 \cdot 7$ |
$2^{2} \cdot 3 \cdot 5 \cdot 7$ |
$-1$ |
$0$ |
$1$ |
$2$ |
14 |
$48337$ |
$137$ |
$2$ |
$C_1$ |
$A_8$ |
$A_8$ |
$C_1$ |
$2^{7} \cdot 3^{2} \cdot 5 \cdot 7$ |
$2$ |
$8$ |
$8$ |
$7$ |
$7$ |
$7$ |
$7$ |
$7$ |
$7$ |
Simple |
| 24360.a |
$\SL(2,29)$ |
$\SL(2,29)$ |
$2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 29$ |
$2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 29$ |
$-1$ |
$0$ |
$2$ |
$2$ |
33 |
|
|
|
$C_2$ |
$\PSL(2,29)$ |
$\SL(2,29)$ |
$C_1$ |
$2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 29$ |
$2$ |
|
$120$ |
$14$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 29760.a |
$\SL(2,31)$ |
$\SL(2,31)$ |
$2^{6} \cdot 3 \cdot 5 \cdot 31$ |
$2^{5} \cdot 3 \cdot 5 \cdot 31$ |
$-1$ |
$0$ |
$2$ |
$2$ |
35 |
|
|
|
$C_2$ |
$\PSL(2,31)$ |
$\SL(2,31)$ |
$C_1$ |
$2^{6} \cdot 3 \cdot 5 \cdot 31$ |
$2$ |
|
$64$ |
$16$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 32736.a |
$\SL(2,32)$ |
$\SL(2,32)$ |
$2^{5} \cdot 3 \cdot 11 \cdot 31$ |
$2 \cdot 3 \cdot 11 \cdot 31$ |
$-1$ |
$0$ |
$1$ |
$2$ |
33 |
$22328$ |
$24$ |
$2$ |
$C_1$ |
$\SL(2,32)$ |
$\SL(2,32)$ |
$C_1$ |
$2^{5} \cdot 3 \cdot 5 \cdot 11 \cdot 31$ |
$5$ |
$33$ |
$33$ |
$31$ |
$31$ |
$31$ |
$31$ |
$31$ |
$31$ |
Simple |
| 50616.a |
$\SL(2,37)$ |
$\SL(2,37)$ |
$2^{3} \cdot 3^{2} \cdot 19 \cdot 37$ |
$2^{2} \cdot 3^{2} \cdot 19 \cdot 37$ |
$-1$ |
$0$ |
$2$ |
$2$ |
41 |
|
|
|
$C_2$ |
$\PSL(2,37)$ |
$\SL(2,37)$ |
$C_1$ |
$2^{3} \cdot 3^{2} \cdot 19 \cdot 37$ |
$2$ |
|
$152$ |
$18$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 60480.a |
$\SL(3,4)$ |
$\SL(3,4)$ |
$2^{6} \cdot 3^{3} \cdot 5 \cdot 7$ |
$2^{2} \cdot 3 \cdot 5 \cdot 7$ |
$-1$ |
$0$ |
$2$ |
$2$ |
28 |
$109075$ |
$200$ |
$3$ |
$C_3$ |
$\PSL(3,4)$ |
$\SL(3,4)$ |
$C_1$ |
$2^{8} \cdot 3^{3} \cdot 5 \cdot 7$ |
$2^{2} \cdot 3$ |
$63$ |
$63$ |
$15$ |
$30$ |
$30$ |
? |
? |
? |
Non-Solvable - 2 |
| 68880.a |
$\SL(2,41)$ |
$\SL(2,41)$ |
$2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 41$ |
$2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 41$ |
$-1$ |
$0$ |
$2$ |
$2$ |
45 |
|
|
|
$C_2$ |
|
$\SL(2,41)$ |
$C_1$ |
$2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 41$ |
$2$ |
|
$336$ |
$20$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 79464.a |
$\SL(2,43)$ |
$\SL(2,43)$ |
$2^{3} \cdot 3 \cdot 7 \cdot 11 \cdot 43$ |
$2^{2} \cdot 3 \cdot 7 \cdot 11 \cdot 43$ |
$-1$ |
$0$ |
$2$ |
$2$ |
47 |
|
|
|
$C_2$ |
$\PSL(2,43)$ |
$\SL(2,43)$ |
$C_1$ |
$2^{3} \cdot 3 \cdot 7 \cdot 11 \cdot 43$ |
$2$ |
|
$88$ |
$22$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 103776.a |
$\SL(2,47)$ |
$\SL(2,47)$ |
$2^{5} \cdot 3 \cdot 23 \cdot 47$ |
$2^{4} \cdot 3 \cdot 23 \cdot 47$ |
$-1$ |
$0$ |
$2$ |
$2$ |
51 |
|
|
|
$C_2$ |
$\PSL(2,47)$ |
$\SL(2,47)$ |
$C_1$ |
$2^{5} \cdot 3 \cdot 23 \cdot 47$ |
$2$ |
|
$96$ |
$24$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 117600.a |
$\SL(2,49)$ |
$\SL(2,49)$ |
$2^{5} \cdot 3 \cdot 5^{2} \cdot 7^{2}$ |
$2^{4} \cdot 3 \cdot 5^{2} \cdot 7$ |
$-1$ |
$0$ |
$2$ |
$2$ |
53 |
|
|
|
$C_2$ |
$\PSL(2,49)$ |
$\SL(2,49)$ |
$C_1$ |
$2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2}$ |
$2^{2}$ |
|
$800$ |
$24$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 148824.a |
$\SL(2,53)$ |
$\SL(2,53)$ |
$2^{3} \cdot 3^{3} \cdot 13 \cdot 53$ |
$2^{2} \cdot 3^{3} \cdot 13 \cdot 53$ |
$-1$ |
$0$ |
$2$ |
$2$ |
57 |
|
|
|
$C_2$ |
$\PSL(2,53)$ |
$\SL(2,53)$ |
$C_1$ |
$2^{3} \cdot 3^{3} \cdot 13 \cdot 53$ |
$2$ |
|
$216$ |
$26$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 205320.a |
$\SL(2,59)$ |
$\SL(2,59)$ |
$2^{3} \cdot 3 \cdot 5 \cdot 29 \cdot 59$ |
$2^{2} \cdot 3 \cdot 5 \cdot 29 \cdot 59$ |
$-1$ |
$0$ |
$2$ |
$2$ |
63 |
|
|
|
$C_2$ |
$\PSL(2,59)$ |
$\SL(2,59)$ |
$C_1$ |
$2^{3} \cdot 3 \cdot 5 \cdot 29 \cdot 59$ |
$2$ |
|
$120$ |
$30$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 226920.a |
$\SL(2,61)$ |
$\SL(2,61)$ |
$2^{3} \cdot 3 \cdot 5 \cdot 31 \cdot 61$ |
$2^{2} \cdot 3 \cdot 5 \cdot 31 \cdot 61$ |
$-1$ |
$0$ |
$2$ |
$2$ |
65 |
|
|
|
$C_2$ |
$\PSL(2,61)$ |
$\SL(2,61)$ |
$C_1$ |
$2^{3} \cdot 3 \cdot 5 \cdot 31 \cdot 61$ |
$2$ |
|
$248$ |
$30$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 262080.a |
$\SL(2,64)$ |
$\SL(2,64)$ |
$2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13$ |
$2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13$ |
$-1$ |
$0$ |
$1$ |
$2$ |
65 |
$360787$ |
$76$ |
$2$ |
$C_1$ |
$\SL(2,64)$ |
$\SL(2,64)$ |
$C_1$ |
$2^{7} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 13$ |
$2 \cdot 3$ |
$65$ |
$65$ |
$63$ |
$63$ |
$64$ |
$63$ |
$63$ |
$64$ |
Simple |
| 300696.a |
$\SL(2,67)$ |
$\SL(2,67)$ |
$2^{3} \cdot 3 \cdot 11 \cdot 17 \cdot 67$ |
$2^{2} \cdot 3 \cdot 11 \cdot 17 \cdot 67$ |
$-1$ |
$0$ |
$2$ |
$2$ |
71 |
|
|
|
$C_2$ |
$\PSL(2,67)$ |
$\SL(2,67)$ |
$C_1$ |
$2^{3} \cdot 3 \cdot 11 \cdot 17 \cdot 67$ |
$2$ |
|
$136$ |
$34$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 357840.a |
$\SL(2,71)$ |
$\SL(2,71)$ |
$2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 71$ |
$2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 71$ |
$-1$ |
$0$ |
$2$ |
$2$ |
75 |
|
|
|
$C_2$ |
$\PSL(2,71)$ |
$\SL(2,71)$ |
$C_1$ |
$2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 71$ |
$2$ |
|
$144$ |
$36$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 372000.a |
$\SL(3,5)$ |
$\SL(3,5)$ |
$2^{5} \cdot 3 \cdot 5^{3} \cdot 31$ |
$2^{3} \cdot 3 \cdot 5 \cdot 31$ |
$-1$ |
$0$ |
$1$ |
$2$ |
30 |
$345809$ |
$140$ |
$2$ |
$C_1$ |
$\SL(3,5)$ |
$\SL(3,5)$ |
$C_1$ |
$2^{6} \cdot 3 \cdot 5^{3} \cdot 31$ |
$2$ |
$31$ |
$31$ |
$30$ |
$30$ |
$30$ |
$30$ |
$30$ |
$30$ |
Simple |
| 388944.a |
$\SL(2,73)$ |
$\SL(2,73)$ |
$2^{4} \cdot 3^{2} \cdot 37 \cdot 73$ |
$2^{3} \cdot 3^{2} \cdot 37 \cdot 73$ |
$-1$ |
$0$ |
$2$ |
$2$ |
77 |
|
|
|
$C_2$ |
$\PSL(2,73)$ |
$\SL(2,73)$ |
$C_1$ |
$2^{4} \cdot 3^{2} \cdot 37 \cdot 73$ |
$2$ |
|
$592$ |
$36$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 492960.a |
$\SL(2,79)$ |
$\SL(2,79)$ |
$2^{5} \cdot 3 \cdot 5 \cdot 13 \cdot 79$ |
$2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 79$ |
$-1$ |
$0$ |
$2$ |
$2$ |
83 |
|
|
|
$C_2$ |
$\PSL(2,79)$ |
$\SL(2,79)$ |
$C_1$ |
$2^{5} \cdot 3 \cdot 5 \cdot 13 \cdot 79$ |
$2$ |
|
$160$ |
$40$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 531360.a |
$\SL(2,81)$ |
$\SL(2,81)$ |
$2^{5} \cdot 3^{4} \cdot 5 \cdot 41$ |
$2^{4} \cdot 3 \cdot 5 \cdot 41$ |
$-1$ |
$0$ |
$2$ |
$2$ |
85 |
|
|
|
$C_2$ |
$\PSL(2,81)$ |
$\SL(2,81)$ |
$C_1$ |
$2^{7} \cdot 3^{4} \cdot 5 \cdot 41$ |
$2^{3}$ |
|
$1312$ |
$40$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 571704.a |
$\SL(2,83)$ |
$\SL(2,83)$ |
$2^{3} \cdot 3 \cdot 7 \cdot 41 \cdot 83$ |
$2^{2} \cdot 3 \cdot 7 \cdot 41 \cdot 83$ |
$-1$ |
$0$ |
$2$ |
$2$ |
87 |
|
|
|
$C_2$ |
$\PSL(2,83)$ |
$\SL(2,83)$ |
$C_1$ |
$2^{3} \cdot 3 \cdot 7 \cdot 41 \cdot 83$ |
$2$ |
|
$168$ |
$42$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 704880.a |
$\SL(2,89)$ |
$\SL(2,89)$ |
$2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 89$ |
$2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 89$ |
$-1$ |
$0$ |
$2$ |
$2$ |
93 |
|
|
|
$C_2$ |
$\PSL(2,89)$ |
$\SL(2,89)$ |
$C_1$ |
$2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 89$ |
$2$ |
|
$720$ |
$44$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 912576.a |
$\SL(2,97)$ |
$\SL(2,97)$ |
$2^{6} \cdot 3 \cdot 7^{2} \cdot 97$ |
$2^{5} \cdot 3 \cdot 7^{2} \cdot 97$ |
$-1$ |
$0$ |
$2$ |
$2$ |
101 |
|
|
|
$C_2$ |
$\PSL(2,97)$ |
$\SL(2,97)$ |
$C_1$ |
$2^{6} \cdot 3 \cdot 7^{2} \cdot 97$ |
$2$ |
|
$3136$ |
$48$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 1030200.a |
$\SL(2,101)$ |
$\SL(2,101)$ |
$2^{3} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 101$ |
$2^{2} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 101$ |
$-1$ |
$0$ |
$2$ |
$2$ |
105 |
|
|
|
$C_2$ |
$\PSL(2,101)$ |
$\SL(2,101)$ |
$C_1$ |
$2^{3} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 101$ |
$2$ |
|
$408$ |
$50$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 1092624.a |
$\SL(2,103)$ |
$\SL(2,103)$ |
$2^{4} \cdot 3 \cdot 13 \cdot 17 \cdot 103$ |
$2^{3} \cdot 3 \cdot 13 \cdot 17 \cdot 103$ |
$-1$ |
$0$ |
$2$ |
$2$ |
107 |
|
|
|
$C_2$ |
$\PSL(2,103)$ |
$\SL(2,103)$ |
$C_1$ |
$2^{4} \cdot 3 \cdot 13 \cdot 17 \cdot 103$ |
$2$ |
|
$208$ |
$52$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 1224936.a |
$\SL(2,107)$ |
$\SL(2,107)$ |
$2^{3} \cdot 3^{3} \cdot 53 \cdot 107$ |
$2^{2} \cdot 3^{3} \cdot 53 \cdot 107$ |
$-1$ |
$0$ |
$2$ |
$2$ |
111 |
|
|
|
$C_2$ |
$\PSL(2,107)$ |
$\SL(2,107)$ |
$C_1$ |
$2^{3} \cdot 3^{3} \cdot 53 \cdot 107$ |
$2$ |
|
$216$ |
$54$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 1294920.a |
$\SL(2,109)$ |
$\SL(2,109)$ |
$2^{3} \cdot 3^{3} \cdot 5 \cdot 11 \cdot 109$ |
$2^{2} \cdot 3^{3} \cdot 5 \cdot 11 \cdot 109$ |
$-1$ |
$0$ |
$2$ |
$2$ |
113 |
|
|
|
$C_2$ |
$\PSL(2,109)$ |
$\SL(2,109)$ |
$C_1$ |
$2^{3} \cdot 3^{3} \cdot 5 \cdot 11 \cdot 109$ |
$2$ |
|
$440$ |
$54$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 1442784.a |
$\SL(2,113)$ |
$\SL(2,113)$ |
$2^{5} \cdot 3 \cdot 7 \cdot 19 \cdot 113$ |
$2^{4} \cdot 3 \cdot 7 \cdot 19 \cdot 113$ |
$-1$ |
$0$ |
$2$ |
$2$ |
117 |
|
|
|
$C_2$ |
$\PSL(2,113)$ |
$\SL(2,113)$ |
$C_1$ |
$2^{5} \cdot 3 \cdot 7 \cdot 19 \cdot 113$ |
$2$ |
|
$1824$ |
$56$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 1771440.a |
$\SL(2,121)$ |
$\SL(2,121)$ |
$2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 61$ |
$2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 61$ |
$-1$ |
$0$ |
$2$ |
$2$ |
125 |
|
|
|
$C_2$ |
$\PSL(2,121)$ |
$\SL(2,121)$ |
$C_1$ |
$2^{5} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 61$ |
$2^{2}$ |
|
$976$ |
$60$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 1953000.a |
$\SL(2,125)$ |
$\SL(2,125)$ |
$2^{3} \cdot 3^{2} \cdot 5^{3} \cdot 7 \cdot 31$ |
$2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 31$ |
$-1$ |
$0$ |
$2$ |
$2$ |
129 |
|
|
|
$C_2$ |
$\PSL(2,125)$ |
$\SL(2,125)$ |
$C_1$ |
$2^{3} \cdot 3^{3} \cdot 5^{3} \cdot 7 \cdot 31$ |
$2 \cdot 3$ |
|
$504$ |
$62$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 2048256.a |
$\SL(2,127)$ |
$\SL(2,127)$ |
$2^{8} \cdot 3^{2} \cdot 7 \cdot 127$ |
$2^{7} \cdot 3^{2} \cdot 7 \cdot 127$ |
$-1$ |
$0$ |
$2$ |
$2$ |
131 |
|
|
|
$C_2$ |
$\PSL(2,127)$ |
$\SL(2,127)$ |
$C_1$ |
$2^{8} \cdot 3^{2} \cdot 7 \cdot 127$ |
$2$ |
|
$256$ |
$64$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
| 2097024.a |
$\SL(2,128)$ |
$\SL(2,128)$ |
$2^{7} \cdot 3 \cdot 43 \cdot 127$ |
$2 \cdot 3 \cdot 43 \cdot 127$ |
$-1$ |
$0$ |
$1$ |
$2$ |
129 |
$4191262$ |
$242$ |
$2$ |
$C_1$ |
$\SL(2,128)$ |
$\SL(2,128)$ |
$C_1$ |
$2^{7} \cdot 3 \cdot 7 \cdot 43 \cdot 127$ |
$7$ |
$129$ |
$129$ |
$127$ |
$127$ |
$127$ |
? |
? |
? |
Simple |
| 2247960.a |
$\SL(2,131)$ |
$\SL(2,131)$ |
$2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \cdot 131$ |
$2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \cdot 131$ |
$-1$ |
$0$ |
$2$ |
$2$ |
135 |
|
|
|
$C_2$ |
$\PSL(2,131)$ |
$\SL(2,131)$ |
$C_1$ |
$2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \cdot 131$ |
$2$ |
|
$264$ |
$66$ |
? |
? |
? |
? |
? |
Non-Solvable - 2 |
