Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
544 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 86 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. #13131564 | C2 | semidirect |
| 2. #13130960 | C2 | semidirect |
| 3. #13130334 | C2 | semidirect |
| 4. #13130161 | C2 | semidirect |
| 5. #13129727 | C2 | semidirect |
| 6. #13129675 | C2 | semidirect |
| 135. C2×#1057 | D8 | semidirect |
| 407. C13 | #9049 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131564 | 2 |
| #13130960 | 2 |
| #13130334 | 2 |
| #13130161 | 2 |
| #13129727 | 2 |
| #13129675 | 2 |
| #13124831 | 2 |
| #9049 | 13 |