Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
466 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 111 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×#11718108 | C2 | semidirect |
| 3. #13116573 | C2 | semidirect |
| 4. #13116565 | C2 | semidirect |
| 5. #13116553 | C2 | semidirect |
| 6. #13114960 | C2 | semidirect |
| 7. C13×#2110 | C2 | semidirect |
| 18. #11718357 | C4 | semidirect |
| 19. #11718356 | C4 | semidirect |
| 58. C13×M32 | D4 | semidirect |
| 60. C2×C13×C16 | D4 | semidirect |
| 123. #2110 | D13 | semidirect |
| 226. M32 | D52 | semidirect |
| 228. C2×C16 | D52 | semidirect |
| 291. C13 | #13215 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125322 | 2 |
| C2×#11718108 | 2 |
| #13116573 | 2 |
| #13116565 | 2 |
| #13116553 | 2 |
| #13114960 | 2 |
| C13×#2110 | 2 |
| #13215 | 13 |