Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
994 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 994 conjugacy classes of subgroups — too many to draw. Only its 175 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13125572 | C2 | semidirect |
| 2. #13125287 | C2 | semidirect |
| 3. #13114503 | C2 | semidirect |
| 4. #13114462 | C2 | semidirect |
| 5. #13114423 | C2 | semidirect |
| 6. #13113138 | C2 | semidirect |
| 7. C13×#1712 | C2 | semidirect |
| 12. C13×#493 | C22 | semidirect |
| 18. #11718731 | C22 | semidirect |
| 21. #11718341 | C22 | semidirect |
| 22. C82×C13 | C22 | semidirect |
| 23. #11718047 | C22 | semidirect |
| 76. #1712 | D13 | semidirect |
| 96. C8×C13 | AGL(1,ℤ/8) | semidirect |
| 105. #493 | C2×D13 | semidirect |
| 113. C82 | C2×D13 | semidirect |
| 176. C13 | #19745 | semidirect |
| 195. C8 | #88165 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125572 | 2 |
| #13125287 | 2 |
| #13114503 | 2 |
| #13114462 | 2 |
| #13114423 | 2 |
| #13113138 | 2 |
| C13×#1712 | 2 |
| #19745 | 13 |