Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
516 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 127 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. #13116571 | C2 | semidirect |
| 3. C2×#11718145 | C2 | semidirect |
| 4. #13112937 | C2 | semidirect |
| 5. C13×#2911 | C2 | semidirect |
| 13. #11718798 | C4 | semidirect |
| 14. #11718796 | C4 | semidirect |
| 42. C2×Dic52 | C2×C4 | semidirect |
| 45. C2×D104 | C2×C4 | semidirect |
| 50. C13×#106 | D4 | semidirect |
| 53. #88057 | C2×C4 | semidirect |
| 104. #2911 | D13 | semidirect |
| 210. #106 | C22⋊D13 | semidirect |
| 263. C13 | #13008 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124445 | 2 |
| #13116571 | 2 |
| C2×#11718145 | 2 |
| #13112937 | 2 |
| C13×#2911 | 2 |
| #13008 | 13 |