Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
466 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 103 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×#11718555 | C2 | semidirect |
| 3. #13116586 | C2 | semidirect |
| 4. #13115730 | C2 | semidirect |
| 5. #13112947 | C2 | semidirect |
| 6. #13112919 | C2 | semidirect |
| 7. C13×#2143 | C2 | semidirect |
| 18. #11718840 | C4 | semidirect |
| 19. #11718808 | C4 | semidirect |
| 128. #2143 | D13 | semidirect |
| 305. C13 | #13024 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127970 | 2 |
| C2×#11718555 | 2 |
| #13116586 | 2 |
| #13115730 | 2 |
| #13112947 | 2 |
| #13112919 | 2 |
| C13×#2143 | 2 |
| #13024 | 13 |