Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
484 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 105 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. C4×#88158 | C2 | semidirect |
| 3. #13116573 | C2 | semidirect |
| 4. #13116565 | C2 | semidirect |
| 5. #13115724 | C2 | semidirect |
| 6. #13112951 | C2 | semidirect |
| 7. C13×#1376 | C2 | semidirect |
| 20. #11718570 | C4 | semidirect |
| 22. #11718569 | C4 | semidirect |
| 37. C2×Dic52 | C2×C4 | semidirect |
| 47. C2×D104 | C2×C4 | semidirect |
| 58. C13×M32 | C2×C4 | semidirect |
| 137. #1376 | D13 | semidirect |
| 247. M32 | C4×D13 | semidirect |
| 321. C13 | #13027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127972 | 2 |
| C4×#88158 | 2 |
| #13116573 | 2 |
| #13116565 | 2 |
| #13115724 | 2 |
| #13112951 | 2 |
| C13×#1376 | 2 |
| #13027 | 13 |