Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
338 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 59 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. #13117022 | C2 | semidirect |
| 3. #13117017 | C2 | semidirect |
| 4. #13116276 | C2 | semidirect |
| 5. #13112852 | C2 | semidirect |
| 6. #13112852 | C2 | semidirect |
| 7. C13×#1315 | C2 | semidirect |
| 14. C2×#88058 | C22 | semidirect |
| 19. C13×C22⋊C16 | C22 | semidirect |
| 20. C13×C22⋊C16 | C22 | semidirect |
| 22. #11718144 | C22 | semidirect |
| 108. #1315 | D13 | semidirect |
| 158. C22⋊C16 | C2×D13 | semidirect |
| 159. C22⋊C16 | C2×D13 | semidirect |
| 264. C13 | #12284 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125701 | 2 |
| #13117022 | 2 |
| #13117017 | 2 |
| #13116276 | 2 |
| #13112852 | 2 |
| C13×#1315 | 2 |
| #12284 | 13 |