Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
214 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 108 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. #13129946 | C2 | semidirect |
| 4. #13129945 | C2 | semidirect |
| 9. C2×#88036 | C4 | semidirect |
| 12. #11718214 | C4 | semidirect |
| 15. C13×M64 | C4 | semidirect |
| 16. #11718091 | C4 | semidirect |
| 18. D13×C32 | C4 | semidirect |
| 82. M64 | #261 | semidirect |
| 136. C13 | #13551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718214 | 2 |
| #13131044 | 2 |
| #13129946 | 2 |
| #13129945 | 2 |
| D13×M64 | 2 |
| #13551 | 13 |