Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
356 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13116635 | C2 | semidirect |
| 3. #13112847 | C2 | semidirect |
| 5. C4×C13×#106 | C2 | semidirect |
| 13. C4×Dic52 | C4 | semidirect |
| 15. #11718357 | C4 | semidirect |
| 16. C4×D104 | C4 | semidirect |
| 18. #11718344 | C4 | semidirect |
| 95. C4×#106 | D13 | semidirect |
| 235. C13 | #11741 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125406 | 2 |
| #13116635 | 2 |
| #13112847 | 2 |
| #13112844 | 2 |
| C4×C13×#106 | 2 |
| #11741 | 13 |