Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
290 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 290 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. #13116868 | C2 | semidirect |
| 2. C8×D104 | C2 | semidirect |
| 3. #13112906 | C2 | semidirect |
| 4. #13112882 | C2 | semidirect |
| 5. C13×#1712 | C2 | semidirect |
| 57. D104 | D8 | semidirect |
| 61. #1712 | D13 | semidirect |
| 83. C8×C13 | D16 | semidirect |
| 158. C13 | #12424 | semidirect |
| 178. C8 | #88066 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116868 | 2 |
| C8×D104 | 2 |
| #13112906 | 2 |
| #13112882 | 2 |
| C13×#1712 | 2 |
| #12424 | 13 |