Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
394 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 394 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. #13116610 | C2 | semidirect |
| 5. #13112943 | C2 | semidirect |
| 6. #13112938 | C2 | semidirect |
| 7. C2×C13×#365 | C2 | semidirect |
| 23. #11718100 | C4 | semidirect |
| 46. C2×C13×C16 | C2×C4 | semidirect |
| 58. #88052 | C2×C4 | semidirect |
| 106. C2×#365 | D13 | semidirect |
| 196. C2×C16 | C4×D13 | semidirect |
| 255. C13 | #12934 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123427 | 2 |
| #13116610 | 2 |
| #13116463 | 2 |
| #13114891 | 2 |
| #13112943 | 2 |
| #13112938 | 2 |
| C2×C13×#365 | 2 |
| #12934 | 13 |