Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
422 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13116624 | C2 | semidirect |
| 5. #13115579 | C2 | semidirect |
| 6. #13112942 | C2 | semidirect |
| 7. C13×#1377 | C2 | semidirect |
| 23. #11718110 | C4 | semidirect |
| 54. C13×M32 | C2×C4 | semidirect |
| 68. #88057 | C2×C4 | semidirect |
| 114. Dic52 | C4⋊C4 | semidirect |
| 116. D104 | C4⋊C4 | semidirect |
| 127. #1377 | D13 | semidirect |
| 229. M32 | C4×D13 | semidirect |
| 301. C13 | #12943 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123638 | 2 |
| #13116624 | 2 |
| C2×#11718110 | 2 |
| #13116549 | 2 |
| #13115579 | 2 |
| #13112942 | 2 |
| C13×#1377 | 2 |
| #12943 | 13 |