Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
420 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13114851 | C2 | semidirect |
| 3. #13113607 | C2 | semidirect |
| 6. #13112695 | C2 | semidirect |
| 7. C13×#1461 | C2 | semidirect |
| 120. #1461 | D13 | semidirect |
| 295. C13 | #10467 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124308 | 2 |
| #13114851 | 2 |
| #13113607 | 2 |
| #13113483 | 2 |
| #13113397 | 2 |
| #13112695 | 2 |
| C13×#1461 | 2 |
| #10467 | 13 |