Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
630 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 630 conjugacy classes of subgroups — too many to draw. Only its 111 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. #13112661 | C2 | semidirect |
| 4. #13112656 | C2 | semidirect |
| 5. C13×#1817 | C2 | semidirect |
| 114. #1817 | D13 | semidirect |
| 317. C13 | #7645 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117326 | 2 |
| #13114904 | 2 |
| #13112661 | 2 |
| #13112656 | 2 |
| C13×#1817 | 2 |
| #7645 | 13 |