Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13113309 | C2 | semidirect |
| 5. #13113192 | C2 | semidirect |
| 6. #13112708 | C2 | semidirect |
| 7. C13×#3166 | C2 | semidirect |
| 130. #3166 | D13 | semidirect |
| 308. C13 | #10126 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126026 | 2 |
| #13125843 | 2 |
| #13113309 | 2 |
| #13113254 | 2 |
| #13113192 | 2 |
| #13112708 | 2 |
| C13×#3166 | 2 |
| #10126 | 13 |