Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
366 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 86 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. #13129916 | C2 | semidirect |
| 4. #13129899 | C2 | semidirect |
| 12. C13×#430 | C4 | semidirect |
| 13. #11718786 | C4 | semidirect |
| 16. #11718554 | C4 | semidirect |
| 127. #430 | #261 | semidirect |
| 221. C13 | #12877 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131067 | 2 |
| #13130719 | 2 |
| #13129916 | 2 |
| #13129899 | 2 |
| #13123446 | 2 |
| #12877 | 13 |