Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
380 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 96 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. #13130040 | C2 | semidirect |
| 3. #13129799 | C2 | semidirect |
| 4. #13129798 | C2 | semidirect |
| 19. #11718261 | C22 | semidirect |
| 21. C8×#1057 | C22 | semidirect |
| 28. #88173 | C8 | semidirect |
| 29. Q16×D13 | C8 | semidirect |
| 32. #88166 | C8 | semidirect |
| 33. D8×D13 | C8 | semidirect |
| 284. C13 | #11602 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#364 | 2 |
| #13130040 | 2 |
| #13129799 | 2 |
| #13129798 | 2 |
| D13×#443 | 2 |
| #11602 | 13 |