Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
316 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 70 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. #13131056 | C2 | semidirect |
| 4. #13130955 | C2 | semidirect |
| 5. #13129914 | C2 | semidirect |
| 6. #13129913 | C2 | semidirect |
| 23. C13×#361 | C4 | semidirect |
| 24. #11718155 | C4 | semidirect |
| 25. #11718108 | C4 | semidirect |
| 26. #11718087 | C4 | semidirect |
| 154. #361 | #261 | semidirect |
| 255. C13 | #13158 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718278 | 2 |
| #13131056 | 2 |
| #13130997 | 2 |
| #13130955 | 2 |
| #13129914 | 2 |
| #13129913 | 2 |
| D13×#361 | 2 |
| #13158 | 13 |