Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
680 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 680 conjugacy classes of subgroups — too many to draw. Only its 171 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 |
|---|---|---|
| 3. #13123704 | C2 | semidirect |
| 4. #13116900 | C2 | semidirect |
| 5. #13116884 | C2 | semidirect |
| 6. #13116594 | C2 | semidirect |
| 7. #13116556 | C2 | semidirect |
| 9. C22×C13×Q32 | C2 | semidirect |
| 127. C22×Q32 | D13 | semidirect |
| 296. C13 | #33588 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718840 | 2 |
| #13125325 | 2 |
| #13123704 | 2 |
| #13116900 | 2 |
| #13116884 | 2 |
| #13116594 | 2 |
| #13116556 | 2 |
| #13116544 | 2 |
| C22×C13×Q32 | 2 |
| #33588 | 13 |