Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
306 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13116639 | C2 | semidirect |
| 3. #13112805 | C2 | semidirect |
| 4. #13112802 | C2 | semidirect |
| 5. C13×#1564 | C2 | semidirect |
| 91. #1564 | D13 | semidirect |
| 224. C13 | #11656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125406 | 2 |
| #13116639 | 2 |
| #13112805 | 2 |
| #13112802 | 2 |
| C13×#1564 | 2 |
| #11656 | 13 |