Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1128 conjugacy classes of subgroups; only the 391 normal subgroups are shown.
This group has 1128 conjugacy classes of subgroups — too many to draw. Only its 391 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. #13127939 | C2 | semidirect |
| 2. #13123431 | C2 | semidirect |
| 3. #13116572 | C2 | semidirect |
| 4. C2×#11718158 | C2 | semidirect |
| 7. C13×#578 | C4 | semidirect |
| 9. C13×#576 | C4 | semidirect |
| 16. #11718767 | C22 | semidirect |
| 17. C2×#88057 | C22 | semidirect |
| 18. C2×#88052 | C22 | semidirect |
| 19. #11718158 | C22 | semidirect |
| 20. #11718158 | C22 | semidirect |
| 32. C13×#135 | C2×C4 | semidirect |
| 34. C2×C13×Q16 | C2×C4 | semidirect |
| 36. C2×C13×D8 | C2×C4 | semidirect |
| 117. #578 | Dic13 | semidirect |
| 119. #576 | Dic13 | semidirect |
| 153. #135 | C2×Dic13 | semidirect |
| 155. C2×Q16 | C2×Dic13 | semidirect |
| 157. C2×D8 | C2×Dic13 | semidirect |
| 212. C13 | #33388 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127939 | 2 |
| #13123431 | 2 |
| #13116572 | 2 |
| C2×#11718158 | 2 |
| C13×#3584 | 2 |
| #33388 | 13 |