Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
538 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 538 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#11718530 | C2 | semidirect |
| 3. C2×#11718087 | C2 | semidirect |
| 4. C2×#11718080 | C2 | semidirect |
| 5. #13115727 | C2 | semidirect |
| 6. #13112915 | C2 | semidirect |
| 7. C13×#1383 | C2 | semidirect |
| 21. C2×#88040 | C4 | semidirect |
| 22. C2×D208 | C4 | semidirect |
| 36. C2×Dic52 | C2×C4 | semidirect |
| 45. C2×D104 | C2×C4 | semidirect |
| 53. C2×C13×C16 | C2×C4 | semidirect |
| 123. #1383 | D13 | semidirect |
| 230. C2×C16 | C4×D13 | semidirect |
| 295. C13 | #13037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718569 | 2 |
| C2×#11718530 | 2 |
| C2×#11718087 | 2 |
| C2×#11718080 | 2 |
| #13115727 | 2 |
| #13112915 | 2 |
| C13×#1383 | 2 |
| #13037 | 13 |