Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
312 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13116432 | C2 | semidirect |
| 5. #13115627 | C2 | semidirect |
| 6. #13112952 | C2 | semidirect |
| 7. C13×#1382 | C2 | semidirect |
| 23. #11718088 | C4 | semidirect |
| 24. #11718087 | C4 | semidirect |
| 103. #1382 | D13 | semidirect |
| 236. C13 | #13146 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116583 | 2 |
| C2×#11718102 | 2 |
| #13116432 | 2 |
| #13115732 | 2 |
| #13115627 | 2 |
| #13112952 | 2 |
| C13×#1382 | 2 |
| #13146 | 13 |