Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
538 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 538 conjugacy classes of subgroups — too many to draw. Only its 147 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. D13×#500 | C2 | semidirect |
| 3. #13117116 | C2 | semidirect |
| 4. #13117061 | C2 | semidirect |
| 5. #13117060 | C2 | semidirect |
| 6. #13117023 | C2 | semidirect |
| 7. #13116982 | C2 | semidirect |
| 8. #13116633 | C2 | semidirect |
| 9. C13×#2254 | C2 | semidirect |
| 115. #2254 | D13 | semidirect |
| 274. C13 | #33793 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125416 | 2 |
| D13×#500 | 2 |
| #13117116 | 2 |
| #13117061 | 2 |
| #13117060 | 2 |
| #13117023 | 2 |
| #13116982 | 2 |
| #13116633 | 2 |
| C13×#2254 | 2 |
| #33793 | 13 |