Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
398 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 98 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. D13⋊#364 | C2 | semidirect |
| 2. #13130030 | C2 | semidirect |
| 3. #13129801 | C2 | semidirect |
| 4. #13129800 | C2 | semidirect |
| 19. #11718261 | C22 | semidirect |
| 21. #11718251 | C22 | semidirect |
| 29. #88173 | C8 | semidirect |
| 30. Q16×D13 | C8 | semidirect |
| 33. #88166 | C8 | semidirect |
| 34. D8×D13 | C8 | semidirect |
| 77. C13×Q16 | C2×C8 | semidirect |
| 79. C13×D8 | C2×C8 | semidirect |
| 97. Dic52 | C2×C8 | semidirect |
| 98. D104 | C2×C8 | semidirect |
| 233. D13 | #1336 | semidirect |
| 248. Q16 | D13⋊C8 | semidirect |
| 255. D8 | D13⋊C8 | semidirect |
| 286. C13 | C2×#1336 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#364 | 2 |
| #13130030 | 2 |
| #13129801 | 2 |
| #13129800 | 2 |
| D13×#443 | 2 |
| C2×#1336 | 13 |