Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
180 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 3. #13112911 | C2 | semidirect |
| 4. #13112904 | C2 | semidirect |
| 5. C13×#1369 | C2 | semidirect |
| 55. #1369 | D13 | semidirect |
| 123. C13 | #12026 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116651 | 2 |
| #13116434 | 2 |
| #13112911 | 2 |
| #13112904 | 2 |
| C13×#1369 | 2 |
| #12026 | 13 |