Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
358 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 111 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. #13116610 | C2 | semidirect |
| 3. #13116608 | C2 | semidirect |
| 6. #13112932 | C2 | semidirect |
| 7. C13×#1382 | C2 | semidirect |
| 19. C2×#88038 | C4 | semidirect |
| 20. C2×C16×D13 | C4 | semidirect |
| 102. #1382 | D13 | semidirect |
| 234. C13 | #12832 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718562 | 2 |
| #13116610 | 2 |
| #13116608 | 2 |
| #13114883 | 2 |
| #13114879 | 2 |
| #13112932 | 2 |
| C13×#1382 | 2 |
| #12832 | 13 |