Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13116585 | C2 | semidirect |
| 3. C2×#11718108 | C2 | semidirect |
| 4. C2×#11718087 | C2 | semidirect |
| 5. #13115627 | C2 | semidirect |
| 6. #13112923 | C2 | semidirect |
| 7. C13×#2143 | C2 | semidirect |
| 59. C13×#108 | D4 | semidirect |
| 123. #2143 | D13 | semidirect |
| 233. #108 | C22⋊D13 | semidirect |
| 292. C13 | #13417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125323 | 2 |
| #13116585 | 2 |
| C2×#11718108 | 2 |
| C2×#11718087 | 2 |
| #13115627 | 2 |
| #13112923 | 2 |
| C13×#2143 | 2 |
| #13417 | 13 |