Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
452 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 452 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. #13114843 | C2 | semidirect |
| 3. #13113611 | C2 | semidirect |
| 4. #13113485 | C2 | semidirect |
| 5. #13113156 | C2 | semidirect |
| 6. #13112694 | C2 | semidirect |
| 7. C13×#1517 | C2 | semidirect |
| 120. #1517 | D13 | semidirect |
| 306. C13 | #10464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124296 | 2 |
| #13114843 | 2 |
| #13113611 | 2 |
| #13113485 | 2 |
| #13113156 | 2 |
| #13112694 | 2 |
| C13×#1517 | 2 |
| #10464 | 13 |