Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
316 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 3. #13116440 | C2 | semidirect |
| 5. #13115624 | C2 | semidirect |
| 6. #13112949 | C2 | semidirect |
| 7. C13×#1388 | C2 | semidirect |
| 19. #11718108 | C4 | semidirect |
| 94. #1388 | D13 | semidirect |
| 216. C13 | #13158 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718108 | 2 |
| C2×#11718087 | 2 |
| #13116440 | 2 |
| #13115744 | 2 |
| #13115624 | 2 |
| #13112949 | 2 |
| C13×#1388 | 2 |
| #13158 | 13 |