Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
494 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13123713 | C2 | semidirect |
| 3. C2×#11718102 | C2 | semidirect |
| 4. C2×#11718101 | C2 | semidirect |
| 5. #13115746 | C2 | semidirect |
| 6. #13112945 | C2 | semidirect |
| 7. C13×#1379 | C2 | semidirect |
| 20. #11718569 | C4 | semidirect |
| 45. C2×D104 | C2×C4 | semidirect |
| 54. C13×M32 | C2×C4 | semidirect |
| 130. #1379 | D13 | semidirect |
| 237. M32 | C4×D13 | semidirect |
| 311. C13 | #13022 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718569 | 2 |
| #13123713 | 2 |
| C2×#11718102 | 2 |
| C2×#11718101 | 2 |
| #13115746 | 2 |
| #13112945 | 2 |
| C13×#1379 | 2 |
| #13022 | 13 |