Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
702 conjugacy classes of subgroups; only the 270 normal subgroups are shown.
This group has 702 conjugacy classes of subgroups — too many to draw. Only its 270 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. #13130404 | C2 | semidirect |
| 3. #13130392 | C2 | semidirect |
| 4. D13⋊#334 | C2 | semidirect |
| 91. #1055 | #131 | semidirect |
| 168. C13 | #17826 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131482 | 2 |
| #13130404 | 2 |
| #13130392 | 2 |
| D13⋊#334 | 2 |
| C8×#6131 | 2 |
| #17826 | 13 |