Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
348 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 1. #13117031 | C2 | semidirect |
| 2. #13117014 | C2 | semidirect |
| 3. #13116259 | C2 | semidirect |
| 4. #13112848 | C2 | semidirect |
| 5. #13112845 | C2 | semidirect |
| 6. #13112760 | C2 | semidirect |
| 270. C13 | #12280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117031 | 2 |
| #13117014 | 2 |
| #13116259 | 2 |
| #13112848 | 2 |
| #13112845 | 2 |
| #13112760 | 2 |
| C13×#3191 | 2 |
| #12280 | 13 |