Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
500 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13115300 | C2 | semidirect |
| 3. #13115297 | C2 | semidirect |
| 4. #13115021 | C2 | semidirect |
| 5. #13113351 | C2 | semidirect |
| 6. #13112712 | C2 | semidirect |
| 7. C13×#1507 | C2 | semidirect |
| 144. #1507 | D13 | semidirect |
| 370. C13 | #10557 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125584 | 2 |
| #13115300 | 2 |
| #13115297 | 2 |
| #13115021 | 2 |
| #13113351 | 2 |
| #13112712 | 2 |
| C13×#1507 | 2 |
| #10557 | 13 |