Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
308 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 65 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. #13127792 | C2 | semidirect |
| 2. #13117078 | C2 | semidirect |
| 4. #13114321 | C2 | semidirect |
| 5. #13112889 | C2 | semidirect |
| 6. #13112819 | C2 | semidirect |
| 7. C13×#1333 | C2 | semidirect |
| 72. C13×D8 | SD16 | semidirect |
| 104. #1333 | D13 | semidirect |
| 220. D8 | #6095 | semidirect |
| 242. C13 | #12360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127792 | 2 |
| #13117078 | 2 |
| #13116871 | 2 |
| #13114321 | 2 |
| #13112889 | 2 |
| #13112819 | 2 |
| C13×#1333 | 2 |
| #12360 | 13 |