Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
430 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13115784 | C2 | semidirect |
| 4. #13113554 | C2 | semidirect |
| 5. #13112705 | C2 | semidirect |
| 6. #13112692 | C2 | semidirect |
| 12. #11718730 | C4 | semidirect |
| 13. #11718721 | C4 | semidirect |
| 316. C13 | #9376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125860 | 2 |
| #13123975 | 2 |
| #13115784 | 2 |
| #13113554 | 2 |
| #13112705 | 2 |
| #13112692 | 2 |
| C13×#1509 | 2 |
| #9376 | 13 |