Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
464 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 464 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 |
|---|---|---|
| 1. #13116447 | C2 | semidirect |
| 2. #13114861 | C2 | semidirect |
| 3. #13112845 | C2 | semidirect |
| 5. C22×C13×D8 | C4 | semidirect |
| 10. C13×#466 | C4 | semidirect |
| 12. C2×C13×#107 | C4 | semidirect |
| 17. #11718143 | C22 | semidirect |
| 19. C22⋊#6090 | C22 | semidirect |
| 130. C22×D8 | Dic13 | semidirect |
| 136. #466 | Dic13 | semidirect |
| 138. C2×#107 | Dic13 | semidirect |
| 242. C13 | #11888 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116447 | 2 |
| #13114861 | 2 |
| #13112845 | 2 |
| C2×C13×#466 | 2 |
| #11888 | 13 |