Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
688 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13123297 | C2 | semidirect |
| 3. #13116507 | C2 | semidirect |
| 4. #13116487 | C2 | semidirect |
| 5. #13112966 | C2 | semidirect |
| 6. #13112956 | C2 | semidirect |
| 7. C13×#1795 | C2 | semidirect |
| 10. C2×#88203 | C4 | semidirect |
| 12. C22×#6104 | C4 | semidirect |
| 23. #11718894 | C4 | semidirect |
| 28. #11718876 | C4 | semidirect |
| 44. C22×D52 | C2×C4 | semidirect |
| 64. #88180 | C2×C4 | semidirect |
| 65. C2×#6099 | C2×C4 | semidirect |
| 66. C22×#1055 | C2×C4 | semidirect |
| 164. #1795 | D13 | semidirect |
| 417. C13 | #13102 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124104 | 2 |
| #13123297 | 2 |
| #13116507 | 2 |
| #13116487 | 2 |
| #13112966 | 2 |
| #13112956 | 2 |
| C13×#1795 | 2 |
| #13102 | 13 |