Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13116583 | C2 | semidirect |
| 3. C2×#11718087 | C2 | semidirect |
| 4. C2×#11718087 | C2 | semidirect |
| 5. #13116563 | C2 | semidirect |
| 6. #13112922 | C2 | semidirect |
| 7. C13×#1953 | C2 | semidirect |
| 59. C13×#108 | D4 | semidirect |
| 124. #1953 | D13 | semidirect |
| 233. #108 | D52 | semidirect |
| 292. C13 | #13417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125322 | 2 |
| #13116583 | 2 |
| C2×#11718087 | 2 |
| #13116563 | 2 |
| #13112922 | 2 |
| C13×#1953 | 2 |
| #13417 | 13 |