Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
406 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 406 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. #13116635 | C2 | semidirect |
| 3. #13112878 | C2 | semidirect |
| 4. C13×#1568 | C2 | semidirect |
| 16. C13×#334 | C22 | semidirect |
| 18. C4⋊#6090 | C22 | semidirect |
| 86. #1568 | D13 | semidirect |
| 130. #334 | C2×D13 | semidirect |
| 215. C13 | #11957 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718357 | 2 |
| #13116635 | 2 |
| #13112878 | 2 |
| C13×#1568 | 2 |
| #11957 | 13 |