Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
434 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13113553 | C2 | semidirect |
| 5. #13112706 | C2 | semidirect |
| 6. #13112692 | C2 | semidirect |
| 7. C13×#1981 | C2 | semidirect |
| 17. #11718750 | C4 | semidirect |
| 19. #11718741 | C4 | semidirect |
| 133. #1981 | D13 | semidirect |
| 324. C13 | #9377 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126066 | 2 |
| #13123972 | 2 |
| #13113553 | 2 |
| #13113359 | 2 |
| #13112706 | 2 |
| #13112692 | 2 |
| C13×#1981 | 2 |
| #9377 | 13 |