Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
466 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 127 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. #13116565 | C2 | semidirect |
| 3. #13114886 | C2 | semidirect |
| 4. #13112935 | C2 | semidirect |
| 5. C13×#3407 | C2 | semidirect |
| 45. C2×C13×C16 | D4 | semidirect |
| 92. #3407 | D13 | semidirect |
| 178. C2×C16 | C22⋊D13 | semidirect |
| 229. C13 | #13076 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124498 | 2 |
| #13116565 | 2 |
| #13114886 | 2 |
| #13112935 | 2 |
| C13×#3407 | 2 |
| #13076 | 13 |