Maximal Subgroups
Wilson (1983) found the 17 conjugacy classes of maximal subgroups of the Suzuki group as follows:
| Maximal Subgroup | Order | Index |
|---|---|---|
| G2(4) | 251,596,800 | 1782 |
| 32 · U(4, 3) · 23 | 19,595,520 | 22,880 |
| U(5, 2) | 13,685,760 | 32,760 |
| 21+6 · U(4, 2) | 3,317,760 | 135,135 |
| 35 : M11 | 1,924,560 | 232,960 |
| J2 : 2 | 1,209,600 | 370,656 |
| 24+6 : 3A6 | 1,105,920 | 405,405 |
| (A4 × L3(4)) : 2 | 483,840 | 926,640 |
| 22+8 : (A5 × S3) | 368,640 | 1,216,215 |
| M12 : 2 | 190,080 | 2,358,720 |
| 32+4 : 2 · (A4 × 22) · 2 | 139,968 | 3,203,200 |
| (A6 × A5) · 2 | 43,200 | 10,378,368 |
| (A6 × 32 : 4) · 2 | 25,920 | 17,297,280 |
| L3(3) : 2 | 11,232 | 39,916,800 |
| L2(25) | 7,800 | 57,480,192 |
| A7 | 2,520 | 177,914,880 |
Read more about this topic: Suzuki Sporadic Group