Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
464 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 464 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 |
|---|---|---|
| 2. #13115041 | C2 | semidirect |
| 3. #13115019 | C2 | semidirect |
| 5. #13112722 | C2 | semidirect |
| 6. #13112684 | C2 | semidirect |
| 27. #11718130 | C4 | semidirect |
| 28. #11718130 | C4 | semidirect |
| 29. #11718129 | C4 | semidirect |
| 30. #11718129 | C4 | semidirect |
| 351. C13 | #8875 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123884 | 2 |
| #13115041 | 2 |
| #13115019 | 2 |
| #13113327 | 2 |
| #13112722 | 2 |
| #13112684 | 2 |
| C13×#1871 | 2 |
| #8875 | 13 |