Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
222 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 110 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. #11718249 | C4 | semidirect |
| 15. D13⋊C32 | C4 | semidirect |
| 16. C13×M64 | C4 | semidirect |
| 17. #11718091 | C4 | semidirect |
| 19. D13×C32 | C4 | semidirect |
| 37. #88036 | C2×C4 | semidirect |
| 38. C13×C32 | C2×C4 | semidirect |
| 39. #88034 | C2×C4 | semidirect |
| 90. M64 | #261 | semidirect |
| 126. C32 | C2×#261 | semidirect |
| 130. D13 | #1398 | semidirect |
| 152. C13 | C2×#1398 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊M64 | 2 |
| C2×#11718216 | 2 |
| #13129946 | 2 |
| #13129945 | 2 |
| D13×M64 | 2 |
| C2×#1398 | 13 |