Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
366 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13115825 | C2 | semidirect |
| 3. #13113624 | C2 | semidirect |
| 5. #13113522 | C2 | semidirect |
| 7. C13×#1299 | C2 | semidirect |
| 106. #1299 | D13 | semidirect |
| 252. C13 | #10490 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125959 | 2 |
| #13115825 | 2 |
| #13113624 | 2 |
| #13113569 | 2 |
| #13113522 | 2 |
| #13113254 | 2 |
| C13×#1299 | 2 |
| #10490 | 13 |