Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
338 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 71 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. D8×Dic26 | C2 | semidirect |
| 2. #13117060 | C2 | semidirect |
| 4. #13114197 | C2 | semidirect |
| 5. #13112892 | C2 | semidirect |
| 6. #13112816 | C2 | semidirect |
| 7. C13×#1331 | C2 | semidirect |
| 66. C13×D8 | SD16 | semidirect |
| 93. #1331 | D13 | semidirect |
| 117. Dic26 | D16 | semidirect |
| 205. D8 | #6095 | semidirect |
| 222. C13 | #12352 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D8×Dic26 | 2 |
| #13117060 | 2 |
| #13116871 | 2 |
| #13114197 | 2 |
| #13112892 | 2 |
| #13112816 | 2 |
| C13×#1331 | 2 |
| #12352 | 13 |