Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1386 conjugacy classes of subgroups; only the 235 normal subgroups are shown.
This group has 1386 conjugacy classes of subgroups — too many to draw. Only its 235 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. #13123471 | C2 | semidirect |
| 3. #13115684 | C2 | semidirect |
| 4. #13115674 | C2 | semidirect |
| 5. #13114764 | C2 | semidirect |
| 6. #13114756 | C2 | semidirect |
| 7. C13×#1785 | C2 | semidirect |
| 16. C2×C13×#101 | C22 | semidirect |
| 17. C2×C13×#100 | C22 | semidirect |
| 19. C2×#88076 | C22 | semidirect |
| 20. C2×#88073 | C22 | semidirect |
| 24. #11718779 | C22 | semidirect |
| 25. M16×Dic13 | C22 | semidirect |
| 120. #1785 | D13 | semidirect |
| 172. C2×#101 | C2×D13 | semidirect |
| 176. C2×#100 | C2×D13 | semidirect |
| 295. C13 | #21801 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719535 | 2 |
| #13123471 | 2 |
| #13115684 | 2 |
| #13115674 | 2 |
| #13114764 | 2 |
| #13114756 | 2 |
| C13×#1785 | 2 |
| #21801 | 13 |