Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
726 conjugacy classes of subgroups; only the 192 normal subgroups are shown.
This group has 726 conjugacy classes of subgroups — too many to draw. Only its 192 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. #13131558 | C2 | semidirect |
| 2. #13130437 | C2 | semidirect |
| 3. #13130395 | C2 | semidirect |
| 4. #13130182 | C2 | semidirect |
| 5. #13130032 | C2 | semidirect |
| 78. D13⋊C8 | D8 | semidirect |
| 226. C13 | #17975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131558 | 2 |
| #13130437 | 2 |
| #13130395 | 2 |
| #13130182 | 2 |
| #13130032 | 2 |
| #13125413 | 2 |
| #17975 | 13 |