Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
324 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. C2×#11718094 | C2 | semidirect |
| 5. #13115582 | C2 | semidirect |
| 6. #13112933 | C2 | semidirect |
| 7. C13×#1381 | C2 | semidirect |
| 19. #11718101 | C4 | semidirect |
| 20. #11718095 | C4 | semidirect |
| 99. #1381 | D13 | semidirect |
| 229. C13 | #13152 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718089 | 2 |
| #13116544 | 2 |
| C2×#11718094 | 2 |
| #13115722 | 2 |
| #13115582 | 2 |
| #13112933 | 2 |
| C13×#1381 | 2 |
| #13152 | 13 |