Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
298 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 115 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. C22×#88034 | C2 | semidirect |
| 2. #13116620 | C2 | semidirect |
| 3. #13113017 | C2 | semidirect |
| 4. #13113014 | C2 | semidirect |
| 8. C13×#508 | C4 | semidirect |
| 85. #508 | Dic13 | semidirect |
| 151. C13 | #13615 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88034 | 2 |
| #13116620 | 2 |
| #13113017 | 2 |
| #13113014 | 2 |
| C2×C13×#508 | 2 |
| #13615 | 13 |