Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
388 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13115007 | C2 | semidirect |
| 3. #13113625 | C2 | semidirect |
| 6. #13112674 | C2 | semidirect |
| 7. C13×#1299 | C2 | semidirect |
| 113. #1299 | D13 | semidirect |
| 141. Dic26 | #108 | semidirect |
| 274. C13 | #8899 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123966 | 2 |
| #13115007 | 2 |
| #13113625 | 2 |
| #13113276 | 2 |
| #13113216 | 2 |
| #13112674 | 2 |
| C13×#1299 | 2 |
| #8899 | 13 |