Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
488 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 488 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 |
|---|---|---|
| 2. #13123977 | C2 | semidirect |
| 3. #13115635 | C2 | semidirect |
| 4. #13113425 | C2 | semidirect |
| 5. #13112734 | C2 | semidirect |
| 6. #13112687 | C2 | semidirect |
| 7. C13×#1490 | C2 | semidirect |
| 151. #1490 | D13 | semidirect |
| 373. C13 | #9052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124883 | 2 |
| #13123977 | 2 |
| #13115635 | 2 |
| #13113425 | 2 |
| #13112734 | 2 |
| #13112687 | 2 |
| C13×#1490 | 2 |
| #9052 | 13 |