Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
418 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 69 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. #13116530 | C2 | semidirect |
| 4. #13115386 | C2 | semidirect |
| 6. #13115055 | C2 | semidirect |
| 7. C13×#1392 | C2 | semidirect |
| 136. #1392 | D13 | semidirect |
| 321. C13 | #13430 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125709 | 2 |
| #13116530 | 2 |
| #13116527 | 2 |
| #13115386 | 2 |
| #13115381 | 2 |
| #13115055 | 2 |
| C13×#1392 | 2 |
| #13430 | 13 |