Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
516 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 516 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. #13123424 | C2 | semidirect |
| 3. #13116573 | C2 | semidirect |
| 4. #13116571 | C2 | semidirect |
| 5. C2×#11718106 | C2 | semidirect |
| 6. #13112937 | C2 | semidirect |
| 7. C13×#1384 | C2 | semidirect |
| 21. #11718529 | C4 | semidirect |
| 22. #11718526 | C4 | semidirect |
| 34. C2×Dic52 | C2×C4 | semidirect |
| 39. C2×D104 | C2×C4 | semidirect |
| 63. C13×#106 | C2×C4 | semidirect |
| 64. C13×#106 | D4 | semidirect |
| 66. #88057 | D4 | semidirect |
| 136. #1384 | D13 | semidirect |
| 256. #106 | C4×D13 | semidirect |
| 257. #106 | D52 | semidirect |
| 321. C13 | #13008 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124446 | 2 |
| #13123424 | 2 |
| #13116573 | 2 |
| #13116571 | 2 |
| C2×#11718106 | 2 |
| #13112937 | 2 |
| C13×#1384 | 2 |
| #13008 | 13 |