Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1386 conjugacy classes of subgroups; only the 243 normal subgroups are shown.
This group has 1386 conjugacy classes of subgroups — too many to draw. Only its 243 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. #13123465 | C2 | semidirect |
| 3. #13115684 | C2 | semidirect |
| 4. #13114760 | C2 | semidirect |
| 6. C13×#1784 | C2 | semidirect |
| 15. C2×C13×#101 | C22 | semidirect |
| 17. C2×#88076 | C22 | semidirect |
| 20. #11718779 | C22 | semidirect |
| 21. M16×Dic13 | C22 | semidirect |
| 105. #1784 | D13 | semidirect |
| 151. C2×#101 | C2×D13 | semidirect |
| 253. C13 | #21798 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88201 | 2 |
| #13123465 | 2 |
| #13115684 | 2 |
| #13114760 | 2 |
| #13114756 | 2 |
| C13×#1784 | 2 |
| #21798 | 13 |