Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
464 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13114688 | C2 | semidirect |
| 3. #13114684 | C2 | semidirect |
| 4. #13112660 | C2 | semidirect |
| 5. #13112658 | C2 | semidirect |
| 308. C13 | #7686 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123200 | 2 |
| #13114688 | 2 |
| #13114684 | 2 |
| #13112660 | 2 |
| #13112658 | 2 |
| #13112657 | 2 |
| C13×#1270 | 2 |
| #7686 | 13 |