Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
706 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 706 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 1. #13123876 | C2 | semidirect |
| 3. #13114825 | C2 | semidirect |
| 4. #13113504 | C2 | semidirect |
| 5. #13112738 | C2 | semidirect |
| 6. #13112737 | C2 | semidirect |
| 7. C13×#1545 | C2 | semidirect |
| 54. C13×C4⋊C8 | D4 | semidirect |
| 63. C4⋊#1055 | D4 | semidirect |
| 122. #1545 | D13 | semidirect |
| 246. C4⋊C8 | C22⋊D13 | semidirect |
| 313. C13 | #9405 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123876 | 2 |
| #13119783 | 2 |
| #13114825 | 2 |
| #13113504 | 2 |
| #13112738 | 2 |
| #13112737 | 2 |
| C13×#1545 | 2 |
| #9405 | 13 |