Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
488 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 4. #13113399 | C2 | semidirect |
| 5. #13113240 | C2 | semidirect |
| 6. #13112731 | C2 | semidirect |
| 7. C13×#1286 | C2 | semidirect |
| 19. #11718507 | C4 | semidirect |
| 20. #11718503 | C4 | semidirect |
| 117. #1286 | D13 | semidirect |
| 285. C13 | #9303 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124635 | 2 |
| #13123859 | 2 |
| #13114843 | 2 |
| #13113399 | 2 |
| #13113240 | 2 |
| #13112731 | 2 |
| C13×#1286 | 2 |
| #9303 | 13 |