Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
558 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 147 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. C2×#11718101 | C2 | semidirect |
| 3. #13114865 | C2 | semidirect |
| 4. #13112928 | C2 | semidirect |
| 5. C22×C13×M32 | C2 | semidirect |
| 14. #11718776 | C4 | semidirect |
| 42. C2×C13×C16 | D4 | semidirect |
| 85. C22×M32 | D13 | semidirect |
| 180. C2×C16 | C22⋊D13 | semidirect |
| 229. C13 | #13061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718776 | 2 |
| C2×#11718101 | 2 |
| #13114865 | 2 |
| #13112928 | 2 |
| C22×C13×M32 | 2 |
| #13061 | 13 |