Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
338 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 100 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 |
|---|---|---|
| 1. #13131193 | C2 | semidirect |
| 2. C4×#88106 | C2 | semidirect |
| 3. #13129805 | C2 | semidirect |
| 4. #13129789 | C2 | semidirect |
| 232. C13 | #11617 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131193 | 2 |
| C4×#88106 | 2 |
| #13129805 | 2 |
| #13129789 | 2 |
| #13123797 | 2 |
| #11617 | 13 |