Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13116586 | C2 | semidirect |
| 3. C2×#11718108 | C2 | semidirect |
| 4. C2×#11718108 | C2 | semidirect |
| 5. #13116565 | C2 | semidirect |
| 6. #13115626 | C2 | semidirect |
| 7. C13×#1378 | C2 | semidirect |
| 67. #88059 | D4 | semidirect |
| 125. #1378 | 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 |
|---|---|
| #13125322 | 2 |
| #13116586 | 2 |
| C2×#11718108 | 2 |
| #13116565 | 2 |
| #13115626 | 2 |
| C13×#1378 | 2 |
| #13417 | 13 |