Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
466 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 107 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×#11718087 | C2 | semidirect |
| 3. #13116571 | C2 | semidirect |
| 4. #13116563 | C2 | semidirect |
| 5. #13116551 | C2 | semidirect |
| 6. #13116441 | C2 | semidirect |
| 7. C13×#1833 | C2 | semidirect |
| 18. #11718357 | C4 | semidirect |
| 19. #11718356 | C4 | semidirect |
| 64. #88052 | D4 | semidirect |
| 66. C2×#6090 | D4 | semidirect |
| 124. #1833 | D13 | 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×#11718087 | 2 |
| #13116571 | 2 |
| #13116563 | 2 |
| #13116551 | 2 |
| #13116441 | 2 |
| C13×#1833 | 2 |
| #13215 | 13 |