Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
508 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 508 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. #13125784 | C2 | semidirect |
| 4. #13115779 | C2 | semidirect |
| 6. #13112686 | C2 | semidirect |
| 7. C13×#1987 | C2 | semidirect |
| 128. #1987 | D13 | semidirect |
| 311. C13 | #10198 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126153 | 2 |
| #13125784 | 2 |
| #13125232 | 2 |
| #13115779 | 2 |
| #13113330 | 2 |
| #13112686 | 2 |
| C13×#1987 | 2 |
| #10198 | 13 |