Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
464 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13116447 | C2 | semidirect |
| 3. #13112844 | C2 | semidirect |
| 4. C13×#1807 | C2 | semidirect |
| 7. C22×D104 | C4 | semidirect |
| 12. #11718776 | C4 | semidirect |
| 15. C2×#88058 | C4 | semidirect |
| 17. C13×#340 | C22 | semidirect |
| 19. C22⋊#6090 | C22 | semidirect |
| 91. #1807 | D13 | semidirect |
| 144. #340 | C2×D13 | semidirect |
| 242. C13 | #11888 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718776 | 2 |
| #13116447 | 2 |
| #13112844 | 2 |
| C13×#1807 | 2 |
| #11888 | 13 |