Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
442 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13116583 | C2 | semidirect |
| 3. #13116571 | C2 | semidirect |
| 4. #13112916 | C2 | semidirect |
| 5. C13×#1946 | C2 | semidirect |
| 45. C13×#106 | D4 | semidirect |
| 93. #1946 | D13 | semidirect |
| 175. #106 | D52 | semidirect |
| 221. C13 | #13416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125282 | 2 |
| #13116583 | 2 |
| #13116571 | 2 |
| #13112916 | 2 |
| C13×#1946 | 2 |
| #13416 | 13 |