Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1230 conjugacy classes of subgroups; only the 191 normal subgroups are shown.
This group has 1230 conjugacy classes of subgroups — too many to draw. Only its 191 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. #13125232 | C2 | semidirect |
| 3. #13116060 | C2 | semidirect |
| 4. #13115754 | C2 | semidirect |
| 5. #13114794 | C2 | semidirect |
| 6. C4×#88076 | C2 | semidirect |
| 7. C13×#2567 | C2 | semidirect |
| 130. #2567 | D13 | semidirect |
| 312. C13 | #25871 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128607 | 2 |
| #13125232 | 2 |
| #13116060 | 2 |
| #13115754 | 2 |
| #13114794 | 2 |
| C4×#88076 | 2 |
| C13×#2567 | 2 |
| #25871 | 13 |