Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
556 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 556 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13114904 | C2 | semidirect |
| 3. #13112658 | C2 | semidirect |
| 4. #13112656 | C2 | semidirect |
| 5. C13×#1728 | C2 | semidirect |
| 108. #1728 | D13 | semidirect |
| 301. C13 | #7694 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123167 | 2 |
| #13114904 | 2 |
| #13112658 | 2 |
| #13112656 | 2 |
| C13×#1728 | 2 |
| #7694 | 13 |