Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
532 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13125827 | C2 | semidirect |
| 2. #13124927 | C2 | semidirect |
| 3. #13113471 | C2 | semidirect |
| 4. #13113306 | C2 | semidirect |
| 5. #13113177 | C2 | semidirect |
| 6. #13112698 | C2 | semidirect |
| 7. C13×#3100 | C2 | semidirect |
| 134. #3100 | D13 | semidirect |
| 337. C13 | #10038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125827 | 2 |
| #13124927 | 2 |
| #13113471 | 2 |
| #13113306 | 2 |
| #13113177 | 2 |
| #13112698 | 2 |
| C13×#3100 | 2 |
| #10038 | 13 |