Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
438 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 76 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. #13131661 | C2 | semidirect |
| 2. #13130312 | C2 | semidirect |
| 3. C2×#11718299 | C2 | semidirect |
| 4. #13130107 | C2 | semidirect |
| 5. #13129731 | C2 | semidirect |
| 6. #13129675 | C2 | semidirect |
| 352. C13 | #9265 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131661 | 2 |
| #13130312 | 2 |
| C2×#11718299 | 2 |
| #13130107 | 2 |
| #13129731 | 2 |
| #13129675 | 2 |
| #13125800 | 2 |
| #9265 | 13 |