Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
584 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 584 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 |
|---|---|---|
| 1. C2×#11718767 | C2 | semidirect |
| 2. #13117041 | C2 | semidirect |
| 3. #13117024 | C2 | semidirect |
| 4. #13116625 | C2 | semidirect |
| 5. #13116548 | C2 | semidirect |
| 6. #13116447 | C2 | semidirect |
| 22. #11718156 | C22 | semidirect |
| 23. #11718154 | C22 | semidirect |
| 25. #11718082 | C22 | semidirect |
| 26. #11718081 | C22 | semidirect |
| 237. C13 | #33647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718767 | 2 |
| #13117041 | 2 |
| #13117024 | 2 |
| #13116625 | 2 |
| #13116548 | 2 |
| #13116447 | 2 |
| C13×#3050 | 2 |
| #33647 | 13 |