Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
238 conjugacy classes of subgroups; only the 168 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 168 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 |
|---|---|---|
| 3. #13129943 | C2 | semidirect |
| 4. C4×#88036 | C2 | semidirect |
| 9. #11718249 | C4 | semidirect |
| 10. C2×#88036 | C4 | semidirect |
| 108. C13 | #13549 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718249 | 2 |
| C22×#88036 | 2 |
| #13129943 | 2 |
| C4×#88036 | 2 |
| #13116433 | 2 |
| #13549 | 13 |