Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1306 conjugacy classes of subgroups; only the 279 normal subgroups are shown.
This group has 1306 conjugacy classes of subgroups — too many to draw. Only its 279 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. #13123537 | C2 | semidirect |
| 3. #13115254 | C2 | semidirect |
| 4. #13115122 | C2 | semidirect |
| 5. #13114787 | C2 | semidirect |
| 6. #13114636 | C2 | semidirect |
| 7. C13×#3573 | C2 | semidirect |
| 14. C22×#6094 | C22 | semidirect |
| 21. #11718787 | C22 | semidirect |
| 22. #11718780 | C22 | semidirect |
| 24. #11718762 | C22 | semidirect |
| 25. #11718148 | C22 | semidirect |
| 39. C2×C13×M16 | D4 | semidirect |
| 42. C22×C8×C13 | D4 | semidirect |
| 102. #3573 | D13 | semidirect |
| 182. C2×M16 | C22⋊D13 | semidirect |
| 186. C22×C8 | C22⋊D13 | semidirect |
| 245. C13 | #21484 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124228 | 2 |
| #13123537 | 2 |
| #13115254 | 2 |
| #13115122 | 2 |
| #13114787 | 2 |
| #13114636 | 2 |
| C13×#3573 | 2 |
| #21484 | 13 |