Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
436 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13115777 | C2 | semidirect |
| 5. #13112734 | C2 | semidirect |
| 6. #13112687 | C2 | semidirect |
| 7. C13×#1491 | C2 | semidirect |
| 145. #1491 | D13 | semidirect |
| 346. C13 | #9051 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124916 | 2 |
| #13123977 | 2 |
| #13115777 | 2 |
| #13113425 | 2 |
| #13112734 | 2 |
| #13112687 | 2 |
| C13×#1491 | 2 |
| #9051 | 13 |