Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
486 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 2. #13116638 | C2 | semidirect |
| 3. #13113598 | C2 | semidirect |
| 4. #13112883 | C2 | semidirect |
| 5. #13112882 | C2 | semidirect |
| 6. #13112881 | C2 | semidirect |
| 7. C13×#1361 | C2 | semidirect |
| 18. C13×C4⋊C16 | C22 | semidirect |
| 19. C13×#335 | C22 | semidirect |
| 23. C4⋊#6090 | C22 | semidirect |
| 24. #11718050 | C22 | semidirect |
| 103. #1361 | D13 | semidirect |
| 152. C4⋊C16 | C2×D13 | semidirect |
| 156. #335 | C2×D13 | semidirect |
| 254. C13 | #11964 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×#493 | 2 |
| #13116638 | 2 |
| #13113598 | 2 |
| #13112883 | 2 |
| #13112882 | 2 |
| #13112881 | 2 |
| C13×#1361 | 2 |
| #11964 | 13 |