Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
470 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 470 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 |
|---|---|---|
| 1. #13127938 | C2 | semidirect |
| 3. #13116573 | C2 | semidirect |
| 4. #13116571 | C2 | semidirect |
| 5. #13114879 | C2 | semidirect |
| 6. #13112943 | C2 | semidirect |
| 7. C13×#1386 | C2 | semidirect |
| 21. #11718529 | C4 | semidirect |
| 22. #11718526 | C4 | semidirect |
| 53. C13×M32 | D4 | semidirect |
| 62. #88052 | D4 | semidirect |
| 127. #1386 | D13 | semidirect |
| 231. M32 | D52 | semidirect |
| 301. C13 | #13077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127938 | 2 |
| #13124499 | 2 |
| #13116573 | 2 |
| #13116571 | 2 |
| #13114879 | 2 |
| #13112943 | 2 |
| C13×#1386 | 2 |
| #13077 | 13 |